Orange Juice

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Fractal: Master | Next Rank: 500 Posts; Posts: 183; Joined: Sun Aug 22, 2010 1:02 am; Location: Switzerland; Thanked: 5 times

Orange Juice

by Fractal » Sun Sep 19, 2010 5:52 am

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 serving of orange juice?

a) 25
b) 34
c) 50
d) 67
e) 100

Could anybody explain me how to solve this exercise? thx

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Source: Beat The GMAT — Problem Solving | Sun Sep 19, 2010 5:52 am

klmehta03: Senior | Next Rank: 100 Posts; Posts: 74; Joined: Sun Sep 05, 2010 3:11 pm; Thanked: 3 times

by klmehta03 » Sun Sep 19, 2010 6:40 am

Total volume of the servings is - 6*200= 1200 oz
solution is made proportion of 1 can is used to make a solution of 4 cans
so 25% of the juice is concentrate
for 1200 oz the concentrate will be =1200*0.25=300 oz
each concentrate can is 12 oz
therefore the no of cans is 300/12=25
the ans is 25

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pm; Location: Vancouver, BC; Thanked: 5254 times; Followed by:1268 members; GMAT Score:770

by Brent@GMATPrepNow » Fri Nov 22, 2019 4:20 pm

Fractal 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 orange juice.
How many 12-ounce cans of the concentrate are required to prepare 200 6-ounce serving of orange juice?

a) 25
b) 34
c) 50
d) 67
e) 100

Here's one 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.

(volume of concentrate)/(volume of juice): 1/4 = x/100

Solve for x to get x = 25

So, the answer is A

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

by Scott@TargetTestPrep » Fri Dec 13, 2019 1:09 pm

Fractal 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 orange juice.

How many 12-ounce cans of the concentrate are required to prepare 200 6-ounce serving of orange juice?

a) 25
b) 34
c) 50
d) 67
e) 100

Could anybody explain me how to solve this exercise? thx

We are given that in order to make orange juice, 1 can of concentrate is used and 3 cans of water. Thus, we can set up the following ratio:
Concentrate: water = x : 3x

We need to determine how many cans of concentrate are needed to prepare 200 6-ounce servings of orange juice, or 200 x 6 = 1,200 ounces.

We can create the following equation to determine the number of ounces of concentrate needed:

x + 3x = 1,200

4x = 1,200

x = 300 ounces

Since there are 12 ounces per can, 300/12 = 25 cans are needed to make 1,200 ounces of orange juice.

Answer: A

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