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

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26 Apr 2015, 21:02

1

This post received KUDOS

EMPOWERgmatRichC wrote:

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:

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

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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.

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

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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

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..
_________________

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

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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?

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?

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

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15 Jan 2016, 05:03

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?

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

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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

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

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01 Aug 2017, 10:21

I solved it in an intuitive way... We are looking for an ammount of juice of 200 x 6 = 1200 ounce The concentrate to water is in the ratio 1:3 so if I have a 12oz can I also have 36oz of water for a total of 48oz of juice. Cheching the various options.. 48x25 = 1200 It works 48x32 > 1200 Impossible

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.