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# According to the directions on a can of frozen orange juice

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According to the directions on a can of frozen orange juice [#permalink]

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23 Sep 2010, 13:53
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According to the directions on a can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 3 cans of water to make an orange juice. How many 12 ounce cans of concentrate are required to prepare 200 6-ounce servings of orange juice.

A. 25
B. 34
C. 50
D. 67
E. 100
[Reveal] Spoiler: OA

Last edited by Bunuel on 09 Jun 2012, 08:03, edited 1 time in total.
Edited the question
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23 Sep 2010, 14:04
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TomB wrote:
According to the directions on a can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 3 cans of water to make an orange juice. How many 12 ounce cans of concentrate are required to prepare 200 6-ounce servings of orange juice.
25
34
50
67
100.

$$\frac{concentrate}{juice}=\frac{1}{4}$$, as 1 part of concentrate is to be mixed with 3 parts of water to get 4 parts of juice;

200 6-ounce of orange juice = 100 12-ounce of orange juice;

As 1/4 th 100 12-ounce of orange juice must be concentrate --> 100*1/4=25 12-ounce of cans of concentrate are required.

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04 Oct 2010, 23:29
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Byanni wrote:
another question:

According to the directions on a can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 3 cans of water to make orange juice. How many 12-ounce cans of the concentrate are required to prepare 200 6-ounce servings of orange juice?
a)25
b)34
c)50
d)67
e)100

We need concentrate:water in 1:3 ratio.

We need to prepare 200 x 6-ounce servings or 1200 ounces
Let there be x ounces of concentrate and hence 3x ounces of water

x+3x=1200 , so x=300 ounces

How many cans ? 300/12 = 25

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05 Oct 2010, 08:45
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1 can --->12 ounce (Orange Concentrate)
3(water Can)+1(Orange Concentrate) =12*4=48 ounce
total cans of concentrate needed=200*6/48=25
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13 Mar 2011, 01:53
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I'm surprised I got this right...here's how I approached this.
X can concentrate : 3X can water is given as the ratio
200 cans of 6 oz each = 1200 oz total fluid.

x+3x = 1200
Therefore x=300 oz of orange juice concentrate
Now we are asked how many 12 oz cans of concentrate are required. From 300, 12 goes 25 times so the answer is A
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Re: According to the directions on a can of frozen orange juice [#permalink]

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21 Jun 2014, 06:55
Bunuel wrote:
TomB wrote:
According to the directions on a can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 3 cans of water to make an orange juice. How many 12 ounce cans of concentrate are required to prepare 200 6-ounce servings of orange juice.
25
34
50
67
100.

$$\frac{concentrate}{juice}=\frac{1}{4}$$, as 1 part of concentrate is to be mixed with 3 parts of water to get 4 parts of juice;

200 6-ounce of orange juice = 100 12-ounce of orange juice;

As 1/4 th 100 12-ounce of orange juice must be concentrate --> 100*1/4=25 12-ounce of cans of concentrate are required.

Hi Bunuel,

How do we know that the can is of 12-ounce? Because its given in the last sentence that how many 12-ounce cans are required. But its not given that the can of concentrate in the mixture: (1 can of concentrate + 3cans of water) is of 12-ounce.

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Re: According to the directions on a can of frozen orange juice [#permalink]

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21 Jun 2014, 07:14
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thoufique wrote:
Bunuel wrote:
TomB wrote:
According to the directions on a can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 3 cans of water to make an orange juice. How many 12 ounce cans of concentrate are required to prepare 200 6-ounce servings of orange juice.
25
34
50
67
100.

$$\frac{concentrate}{juice}=\frac{1}{4}$$, as 1 part of concentrate is to be mixed with 3 parts of water to get 4 parts of juice;

200 6-ounce of orange juice = 100 12-ounce of orange juice;

As 1/4 th 100 12-ounce of orange juice must be concentrate --> 100*1/4=25 12-ounce of cans of concentrate are required.

Hi Bunuel,

How do we know that the can is of 12-ounce? Because its given in the last sentence that how many 12-ounce cans are required. But its not given that the can of concentrate in the mixture: (1 can of concentrate + 3cans of water) is of 12-ounce.

That's true. But what the first sentence is saying is that 1 part of concentrate is to be mixed with 3 parts (thrice of that of concentrate) of water to make an orange juice. So, whatever amount of concentrate you take, you'll have to mix it with 3 times as much water.

Does this make sense?
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Re: According to the directions on a can of frozen orange juice [#permalink]

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23 Jun 2014, 06:23
Bunuel wrote:

That's true. But what the first sentence is saying is that 1 part of concentrate is to be mixed with 3 parts (thrice of that of concentrate) of water to make an orange juice. So, whatever amount of concentrate you take, you'll have to mix it with 3 times as much water.

Does this make sense?

Yes Bunuel, even if we consider the can a concentrate of 4-ounce we will get the same answer.
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Re: According to the directions on a can of frozen orange juice [#permalink]

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03 Feb 2015, 23:43
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Total juice prepared = 200*6 = 1200

Orange juice concentrate required$$= \frac{25}{100} * 1200 = 300$$

12 ounce jars required$$= \frac{300}{12} = 25$$

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Re: According to the directions on a can of frozen orange juice [#permalink]

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26 Apr 2015, 07:46
Hi,

I know this might be a really simple problem for most, but I am somehow not able to understand this one. Could you someone please explain this step by step at the earliest as I taking the GMAT in a week and don't wanna commit a mistake on a simple ratio problem.

Thanks
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Re: According to the directions on a can of frozen orange juice [#permalink]

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26 Apr 2015, 12:33
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Hi aj0809,

This question comes down to how you choose to organize your work and do the math (and there are several ways to approach the math, including TESTing THE ANSWERS). The individual "steps" involved aren't that tough, but you really have to stay organized to work through this question efficiently.

To start, we're given a "recipe" for making orange juice: 1 can of concentrate + 3 cans of water = 4 CANS of juice

Next, we're told that each "can" = 12 ounces. Combined with the prior info (above)....

1 can of concentrate + 3 cans of water = 4 cans of juice = 48 OUNCES of juice

We're told to make 200 6-ounce servings of juice, which is 200(6) = 1,200 ounces of juice. The question asks how many cans of CONCENTRATE are needed to get us 1,200 ounces (according to the recipe).

Since 1 can of concentrate --> 48 ounces of juice, we can do division to figure out the number of cans needed:

1200/48 = 25 cans of concentrate

[Reveal] Spoiler:
A

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Special Offer: Save $75 + GMAT Club Tests Free Official GMAT Exam Packs + 70 Pt. Improvement Guarantee www.empowergmat.com/ ***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*********************** Senior Manager Status: Math is psycho-logical Joined: 07 Apr 2014 Posts: 432 Location: Netherlands GMAT Date: 02-11-2015 WE: Psychology and Counseling (Other) Re: According to the directions on a can of frozen orange juice [#permalink] ### Show Tags 30 Jun 2015, 01:17 Reading my answer to this question above, I realise how differently you can see a question over time (or at a different time). So, in this case, we are told that we need 1 can of juice and 3 cans of water to make orange juice. In other words, we have 4 parts of juice, 1 of which is orange and 3 of which is water. That means that whatever the volume of the juice we will create, 25% of it will be orange and 75% will be water. We have to create 1200 ounces of juice: 6*200. 25% of this (or 1 part out of 4) will be orange. So, 300 ounces will be orange (1200/4=300). And to find it per can: 300/12 = 25. Manager Joined: 21 Jan 2014 Posts: 99 GMAT 1: 500 Q32 V28 GPA: 4 Re: According to the directions on a can of frozen orange juice [#permalink] ### Show Tags 14 Jan 2016, 09:05 How much counts for the GMAT score mixture problems? I have some difficulties to solve them, for this reason I am used to take an educated guess always. Can you recommend some sources where I can learn and make some practice? Here is how I have solved the question. Please give me some feedback about it. we have the ration of 1 Can of juice oncentrate, to 3 can of water; 1:3. The question asks how many 12 ounces of juice we need to 200 6 ounce servings (total of 1200); So I set the following proportion: 1:3=12:x, which gives me x=36; So I know that for every 12 ounce of concentrate, there are 26 ounces of water that make a total of 48 ounces (water + juice); Dividing 1200 by 48 I get the desired result --> 25 :D Math Expert Joined: 02 Aug 2009 Posts: 5721 Re: According to the directions on a can of frozen orange juice [#permalink] ### Show Tags 14 Jan 2016, 09:32 1 This post received KUDOS Expert's post pepo wrote: How much counts for the GMAT score mixture problems? I have some difficulties to solve them, for this reason I am used to take an educated guess always. Can you recommend some sources where I can learn and make some practice? Here is how I have solved the question. Please give me some feedback about it. we have the ration of 1 Can of juice oncentrate, to 3 can of water; 1:3. The question asks how many 12 ounces of juice we need to 200 6 ounce servings (total of 1200); So I set the following proportion: 1:3=12:x, which gives me x=36; So I know that for every 12 ounce of concentrate, there are 26 ounces of water that make a total of 48 ounces (water + juice); Dividing 1200 by 48 I get the desired result --> 25 :D hi you are correct in your approach.. An easier and less time consuming method would be.. we have to prepare 200 6-ounces of juice.. 200 6-ounces is same as 100 12-ounces, since rae concentrate is in 12 ounces can.. we also know from 1:3 ratio that the concentrate forms 1/4 of this total.. 1/4 of 100 = 25, this is the answer we are looking for.. _________________ Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372 Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html GMAT online Tutor Manager Joined: 21 Jan 2014 Posts: 99 GMAT 1: 500 Q32 V28 GPA: 4 Re: According to the directions on a can of frozen orange juice [#permalink] ### Show Tags 15 Jan 2016, 01:45 chetan2u wrote: pepo wrote: How much counts for the GMAT score mixture problems? I have some difficulties to solve them, for this reason I am used to take an educated guess always. Can you recommend some sources where I can learn and make some practice? Here is how I have solved the question. Please give me some feedback about it. we have the ration of 1 Can of juice oncentrate, to 3 can of water; 1:3. The question asks how many 12 ounces of juice we need to 200 6 ounce servings (total of 1200); So I set the following proportion: 1:3=12:x, which gives me x=36; So I know that for every 12 ounce of concentrate, there are 26 ounces of water that make a total of 48 ounces (water + juice); Dividing 1200 by 48 I get the desired result --> 25 :D hi you are correct in your approach.. An easier and less time consuming method would be.. we have to prepare 200 6-ounces of juice.. 200 6-ounces is same as 100 12-ounces, since rae concentrate is in 12 ounces can.. we also know from 1:3 ratio that the concentrate forms 1/4 of this total.. 1/4 of 100 = 25, this is the answer we are looking for.. Hi chetan2u, I got your reasoning, but with some difficulty...for sure I have to improve my ability on this kind of problems. Could you recommend me some free internet resource on which I can study these kind of problems please? thanks Math Expert Joined: 02 Aug 2009 Posts: 5721 Re: According to the directions on a can of frozen orange juice [#permalink] ### Show Tags 15 Jan 2016, 01:55 1 This post received KUDOS Expert's post pepo wrote: chetan2u wrote: pepo wrote: How much counts for the GMAT score mixture problems? I have some difficulties to solve them, for this reason I am used to take an educated guess always. Can you recommend some sources where I can learn and make some practice? Here is how I have solved the question. Please give me some feedback about it. we have the ration of 1 Can of juice oncentrate, to 3 can of water; 1:3. The question asks how many 12 ounces of juice we need to 200 6 ounce servings (total of 1200); So I set the following proportion: 1:3=12:x, which gives me x=36; So I know that for every 12 ounce of concentrate, there are 26 ounces of water that make a total of 48 ounces (water + juice); Dividing 1200 by 48 I get the desired result --> 25 :D hi you are correct in your approach.. An easier and less time consuming method would be.. we have to prepare 200 6-ounces of juice.. 200 6-ounces is same as 100 12-ounces, since rae concentrate is in 12 ounces can.. we also know from 1:3 ratio that the concentrate forms 1/4 of this total.. 1/4 of 100 = 25, this is the answer we are looking for.. Hi chetan2u, I got your reasoning, but with some difficulty...for sure I have to improve my ability on this kind of problems. Could you recommend me some free internet resource on which I can study these kind of problems please? thanks Hi, Although I have not gone through it, just saw this with an attachment. You may find it possible. If any query, i'll be more than happy. .http://gmatclub.com/forum/mixture-problems-with-best-and-easy-solutions-all-together-124644.html _________________ Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372 Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html GMAT online Tutor SVP Joined: 06 Nov 2014 Posts: 1902 Re: According to the directions on a can of frozen orange juice [#permalink] ### Show Tags 12 Jun 2016, 22:40 TomB wrote: According to the directions on a can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 3 cans of water to make an orange juice. How many 12 ounce cans of concentrate are required to prepare 200 6-ounce servings of orange juice. A. 25 B. 34 C. 50 D. 67 E. 100 Try to bring everything in one unit of measurement. 4 cans of orange juice = 1 can of concentrate + 3 cans of water. Hence 1 can of juice contains 1 part concentrate and 3 parts water. Required: How many 12 ounce cans of the concentrate are required to prepare 200 6 ounce servings of orange juice? We would calculate everything in the form of 12 ounce cans. 200 6 ounce juice = 100 12 ounce juice. For 100 12 ounce juice, 23 need (1/4)*100 cans of concentrate and (3/4)*100 cans of water. Each measuring 12 ounce Hence 12 ounce cans of concentrate needed = (1/4)*100 = 25 cans Correct Option: A Intern Joined: 12 Sep 2016 Posts: 9 Re: According to the directions on a can of frozen orange juice [#permalink] ### Show Tags 10 Sep 2017, 06:41 don't you need to know how many oz are in the one can of concentrate that is mixed with the 3 cans of water? Why doesn't that matter? Posted from my mobile device EMPOWERgmat Instructor Status: GMAT Assassin/Co-Founder Affiliations: EMPOWERgmat Joined: 19 Dec 2014 Posts: 11281 Location: United States (CA) GMAT 1: 800 Q51 V49 GRE 1: 340 Q170 V170 Re: According to the directions on a can of frozen orange juice [#permalink] ### Show Tags 10 Sep 2017, 11:22 Hi Nawz, You bring up a fair point. However, the prompt does define "12-ounce can" as the 'unit of measurement' - so we're meant to infer that we're dealing with 12-ounce cans of everything. If you don't make that inference, then the question cannot be answered. GMAT assassins aren't born, they're made, Rich _________________ 760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com # Rich Cohen Co-Founder & GMAT Assassin Special Offer: Save$75 + GMAT Club Tests Free
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According to the directions on a can of frozen orange juice [#permalink]

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13 Jan 2018, 10:56
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TomB wrote:
According to the directions on a can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 3 cans of water to make an orange juice. How many 12 ounce cans of concentrate are required to prepare 200 6-ounce servings of orange juice.

A. 25
B. 34
C. 50
D. 67
E. 100

Here's another approach:

The first part tells that, for every 1 can of concentrate, we can make 4 cans of juice.
Let's be even more generic, for 1 volume of concentrate, we can make 4 volumes of juice.

Okay, now notice that we have a problem with the volume mismatch in the question. It involves 12-ounce cans of concentrate and 6-ounce servings.
So, let's reword the question. Instead of making 200 6-ounce servings of juice, let's make 100 12-ounce servings of juice. We're still making the SAME AMOUNT OF JUICE.

We're now asking, "How many 12-ounce cans of the concentrate are required to prepare 100 12-ounce serving of orange juice?

We can solve this question using equivalent ratios.

We're comparing (volume of concentrate)/(volume of juice)

We get: 1/4 = x/100

Solve for x to get x=25

Cheers,
Brent
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Last edited by GMATPrepNow on 05 Mar 2018, 16:28, edited 1 time in total.
According to the directions on a can of frozen orange juice   [#permalink] 13 Jan 2018, 10:56

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