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According to the directions on a can of frozen orange juice
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23 Jul 2020, 07:27
23 Jul 2020, 07:27
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Question Stats:
60% (01:36) correct
40% (05:22) wrong based on 40 sessions
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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
A. 25
B. 34
C. 50
D. 67
E. 100
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Re: According to the directions on a can of frozen orange juice
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23 Jul 2020, 07:54
23 Jul 2020, 07:54
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Carcass 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
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.
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
Re: According to the directions on a can of frozen orange juice
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17 Sep 2020, 16:24
17 Sep 2020, 16:24
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As tempting as it is to simply divide one can of orange concentrate for every two 6 oz. glasses of orange juice, that's not quite how it works. We see here that mixing 1 12oz can of orange concentrate with 3 cans of water totals to a 48 oz jug of orange juice. That jug can then be poured into 8 different cups of orange juice, 6 oz. each. So, a single can of orange concentrate actually makes 8 cups of orange juice at 6 oz. each. divide 200 by 8 and you get 25 as your answer. 
