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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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Re: orange Juice [#permalink]

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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.

This is a Gmat prep question. I dont know how to attach wrong answers in gmat prep to this forum. Please help

$$\frac{concentrate}{juice}=\frac{1}{4}$$, 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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Re: orange Juice [#permalink]

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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: orange Juice [#permalink]

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13 Mar 2011, 04:41
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

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, 08:00
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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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02 Jan 2013, 21:12
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, 14:59
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, 11:26
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, 23:58
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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18 Mar 2014, 13:46
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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.

This is a Gmat prep question. I dont know how to attach wrong answers in gmat prep to this forum. Please help

$$\frac{concentrate}{juice}=\frac{1}{4}$$, 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.

This is a Gmat prep question. I dont know how to attach wrong answers in gmat prep to this forum. Please help

$$\frac{concentrate}{juice}=\frac{1}{4}$$, 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 Oct 2014, 08:01
i know this sounds dumb..but i gave the test today and i read this problem as 2006-ounce serving. There is a space between 200 and 6 but i thought may be it was typo
The problem is damn simple but when you confuse 200 6-ounces with 2006 ounces,...duhhh!!!
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Re: According to the directions on a can of frozen orange juice [#permalink]

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02 Feb 2015, 13:12
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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, 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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05 Mar 2015, 10:24
pacifist85 wrote:
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!

You should not multiply it by 12. Because the question asks about the number of cans not amount by ounces.
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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
Re: According to the directions on a can of frozen orange juice   [#permalink] 26 Apr 2015, 07:46

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