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

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RashedVai
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Re: According to the directions on a can of frozen orange juice concentrat [#permalink] New post   06 Mar 2020, 11:56
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Just do this problem the way you'd do it in your kitchen at home.

If you were actually going to make orange juice, there's no way you would have any difficulty with this problem at all -- it's thinking of it as "academic" that causes all the trouble.

1 can of concentrate is to be mixed with 3 cans of water to make orange juice.

^^ this means that every 1 can of concentrate + 3 cans of water makes 4 cans of orange juice. So, whatever amount of concentrate you started with, you'll have 4 times that much juice. (Just think about ilterally pouring two liquids together.)

You want 1200 ounces of orange juice.
So, that's 1200/4 = 300 ounces of concentrate.
There are 12 ounces of concentrate in a can, so that's 300/12 = 25 cans.

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Re: According to the directions on a can of frozen orange juice concentrat [#permalink] New post   10 Jun 2020, 10:02
I am just so cross with this question. How am I supposed to know that the concentrate is liquid but not some sort of powder like that of coke and fanta???
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Re: According to the directions on a can of frozen orange juice concentrat [#permalink] New post   10 Jun 2020, 12:54
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tedwang wrote:
I am just so cross with this question. How am I supposed to know that the concentrate is liquid but not some sort of powder like that of coke and fanta???


Hi tedwang,

This prompts expects us to infer a couple of facts without explicitly stating them:

1) One can of WATER is 12 ounces of water.
2) "12 ounce cans" of concentrate refers to ounces of 'liquid concentrate.'

Without those two assumptions, this question becomes impossible to answer... but GMAT questions on Test Day are always carefully written. Going forward, as you continue to work on PS questions, if you find yourself thinking "there's no way to answer this question" then either you're working on a really poorly-worded question OR you're misinterpreting some aspect of the question. In those situations, you might think in terms of "what if...." (here, that would be "what if... the concentrate is liquid? What would the answer be then?).

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Re: According to the directions on a can of frozen orange juice concentrat [#permalink] New post   23 Sep 2020, 12:23
VeritasKarishma how would you use weighted average approach for this one?

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Re: According to the directions on a can of frozen orange juice concentrat [#permalink] New post   23 Sep 2020, 23:34
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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


vita60
You don't need to use weighted averages here since 2 simple ingredients are mixed to give one mixture only. You use weighted averages when 2 mixtures are mixed to give a third mixture. Use ratios to solve this:

On the ratio scale,
Concentrate : Water : Juice = 1: 3 : 4
(1 part concentrate mixed with 3 parts water to give 4 parts juice)

We need total 200*6 = 1200 ounces of juice. So the multiplier is 300.

300 ounces of concentrate will be mixed with 900 ounces of water to give 1200 ounces of juice.

Since we have 12 ounce cans, we will need 300/12 = 25 cans.

Answer (A)

Check: https://www.gmatclub.com/forum/veritas-prep-resource-links-no-longer-available-399979.html#/2011/0 ... of-ratios/
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Re: According to the directions on a can of frozen orange juice concentrat [#permalink] New post   23 Dec 2022, 15:27
BrentGMATPrepNow 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.

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

So, the answer is A

Cheers,
Brent


HI BrentGMATPrepNow, not quite sure about 200 6-ounce servings of juice = 100 12-ounce servings of juice ? and why is not 100 3 -ounce servings of juice if we are halfving it here? Thanks Brent
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Re: According to the directions on a can of frozen orange juice concentrat [#permalink] New post   23 Dec 2022, 15:43
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Kimberly77 wrote:
BrentGMATPrepNow 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.

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

So, the answer is A

Cheers,
Brent


HI BrentGMATPrepNow, not quite sure about 200 6-ounce servings of juice = 100 12-ounce servings of juice ? and why is not 100 3 -ounce servings of juice if we are halfving it here? Thanks Brent


We have a volume mismatch in the question. It involves 12-ounce cans of concentrate and 6-ounce servings.
So, in my solution, I decided to convert 200 6-ounce servings of juice to 100 12-ounce servings of juice.
Notice that, if I combine two 6-ounce servings, I get one 12-ounce serving.

Does that help?
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Re: According to the directions on a can of frozen orange juice concentrat [#permalink] New post   24 Mar 2024, 10:39
Hello there! I am a bit confused on when to flip the ratio...
1can of concentrate and 3 cans of water --> c:w = 1:3
Here we do not flip the ratio but normally we do flip the ratio. Can someone help me understand? I think I am mixing concepts
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Re: According to the directions on a can of frozen orange juice concentrat [#permalink] New post   24 Mar 2024, 23:02
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ruis wrote:
Hello there! I am a bit confused on when to flip the ratio...
1can of concentrate and 3 cans of water --> c:w = 1:3
Here we do not flip the ratio but normally we do flip the ratio. Can someone help me understand? I think I am mixing concepts

Here, it is a straight forward ratio, of exactly the same things what have been mentioned => concentrate : water

But say we have speed given in ratio 1:3, so time taken will be in the ratio 3:1.
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Re: According to the directions on a can of frozen orange juice concentrat [#permalink] New post   27 Mar 2024, 11:08
 
chetan2u wrote:
ruis wrote:
Hello there! I am a bit confused on when to flip the ratio...
1can of concentrate and 3 cans of water --> c:w = 1:3
Here we do not flip the ratio but normally we do flip the ratio. Can someone help me understand? I think I am mixing concepts

Here, it is a straight forward ratio, of exactly the same things what have been mentioned => concentrate : water

But say we have speed given in ratio 1:3, so time taken will be in the ratio 3:1.

­Thanks chetan :)
I mixed concenpts as in the following examples we flip the ratio
-- 3 variables involved: https://gmatclub.com/forum/at-a-certain ... ml#p641813
(I thought straight away it was 2:3... I understand the reasoning but I am not quick nor good with reasoning ratios... )
-- using weighted average https://gmatclub.com/forum/solution-x-which-is-50-alcohol-is-combined-with-solution-y-which-263106.html#p2776372
I have gone through all the content and I am practicing a lot to be able to get more confortable. Somehow I extrapolate one case to the rest... I have to take more time to think and try not to rush...
 
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Re: According to the directions on a can of frozen orange juice concentrat [#permalink]
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