According to the preparation direction on a can of frozen apple juice

Question

According to the preparation direction on a can of frozen apple juice concentration, a can of concentrate is to be mixed with 3.5 cans of water to prepare apple juice. How many 8 ounce cans of the concentrate are needed to make 2880 ounce servings of apple juice ?

A. 30
B. 40
C. 60
D. 80
E. 160

A. 30
B. 40
C. 60
D. 80
E. 160

sujoykrdatta · Answer

1 can concentrate mixes with 3.5 cans of water to give 3.5+1 = 4.5 cans of mix

Thus, 2880 ounces corresponds to 4.5 cans 
Hence, concentrate required, i.e. 1 can would correspond to 2880/4.5 = 640 ounces of concentrate

However, we know that each can of concentrate is of 8 ounces.
Thus, number of actual cans of concentrate required = 640/8 = 80

Answer D

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VerbalKnight · Answer

The word mixed hints that concentrate and water are mixed. So 1 CAN + 3.5 CANs are mixed.

We need 2880 ounce servings, which means that the mix must fill these servings. So if you have 4.5 CANs, you can have 1 CAN with 2880/4.5 = 640 ounce of concentrate.

But! we are informed that each CAN is 8 ounce. Hence, the number of cans would be 640/8 = 80 CANs. -------------  OPTION D

Harsh9676 · Answer

IMO D

Ratio of Apple concentration to water = 2:7 >>totaling to 9X

We are given each can = 8 ounces: so the ratio of weights of cans (AC: Water : Total ) = 8:28:36

We are also given that total mixture weighs = 2880 Ounces >> 36X = 2880 therefore X = 80

Therefore No of cans= 8 * 80 /8 = 80 Cans

GMATGuruNY · Answer

Each can of concentrate is combined with 3.5 cans of water to produce 4.5 cans of juice.
Implication:
4.5 cans of juice = 1 can of concentrate
Thus:

\frac{2880-ounces-of-juice}{1} * \frac{1-can-of-juice}{8-ounces-of-juice} * \frac{1-can-of-concentrate}{4.5-cans-of-juice} = 80

D

Alternatively, we can PLUG IN THE ANSWERS, which represent the number of cans of concentrate.

B:
 \frac{40-cans-of-concentrate}{1} * \frac{4.5-cans-of-juice}{1-can-of-concentrate} * \frac{8-ounces}{1-can-of-juice} = 1440

Since B yields 1440 ounces -- half the required amount -- the correct answer must be TWICE THE VALUE OF B.

D

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According to the preparation direction on a can of frozen apple juice

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