According to the directions on a can of frozen orange juice : GMAT Problem Solving (PS)
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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, 12:53
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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, 07:03, edited 1 time in total.
Edited the question
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04 Oct 2010, 22:29
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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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23 Sep 2010, 13:04
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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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05 Oct 2010, 07:45
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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, 00:53
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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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09 Jun 2012, 07:00
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C/J=1/4

12x/1200=1/4
x=25
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Re: According to the directions on a can of frozen orange juice [#permalink]

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21 Jun 2014, 06:14
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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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02 Feb 2015, 12:12
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Well, I got confused with all the different volumes mentioned.

C/W = 1/3

200*6=1200 ounces

We are asked about 12 ounces of concentrate. So, using the ratio C/W = 1/3, this is C/W = 12/36.
Then:
12x+36x=1200
48x=1200
x=25.

Of course, I still got confused, because I wanted to multiply this 25 by 12. But, since no such answer existed, I chose 25.

Could you explain a bit if my process makes sense and which is the part I am missing?

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

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03 Feb 2015, 22:43
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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, 11:33
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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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Re: According to the directions on a can of frozen orange juice [#permalink]

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14 Jan 2016, 08:32
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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..
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Re: According to the directions on a can of frozen orange juice [#permalink]

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15 Jan 2016, 00:55
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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
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13 Mar 2011, 03:41
The total volume is -> 200 * 6 = 1200 ounces

1 ounce can results in 4 ounces of juice

So 1 12 ounce can extract can result in 4 * 12 = 48 ounces of juice

Hence 1200 ounces can be obtained from 1200/48 cans = 25 cans

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

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02 Jan 2013, 20:12
Hello Kiyo, this problem has been already posted several times. Please search before posting any new problem.
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Re: According to the directions on a can of frozen orange juice [#permalink]

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04 Jan 2013, 13:59
200 6oz cans = 100 12oz cans

ratio of cans to make orange ---> 1(orange):3(water):4(total)

For 100 servings we would need to multiply the total number of cans by 25. Therefore, 1x25 cans of orange would be needed for 200 6oz servings of OJ

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

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17 Feb 2013, 10:26
1c+3w = 4 cans of juice.

For 200 6oz juice you need 150 part of water and 50 cans of 6oz concentrate.

50/2= 25 12oz cans of concentrate.
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Re: According to the directions on a can of frozen orange juice [#permalink]

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08 Mar 2013, 22:58
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

concentrate : water = 1:3

To produce 200 6 ounce serving , we need 100 12 ounce cans.

Now , # of concentrate can in 100 = 1/4 * 100 = 25
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Re: According to the directions on a can of frozen orange juice [#permalink]

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21 Jun 2014, 05:55
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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23 Jun 2014, 05:23
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] 23 Jun 2014, 05:23

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