j_shreyans wrote:According to the direction 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 of the concentrate are required to prepare 2006-ounce serving of orange juice.

A)25
B)34
C)50
D)67
E)100

OAA

This can be solved using equivalent ratios.
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'll solve this question using equivalent ratios.

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

Solve for x to get [spoiler]x=25[/spoiler]
So, the answer is A

Cheers,
Brent

Hi j_shreyans,

As you can see from Brent's and Mathsbuddy's approaches, there are various ways to approach this question. Here's another....

***There are a couple of typos in your original post. The question asks for the number of 12-ouces CANS of concentrate that are required to prepare 200 6-Ounce servings.***

The "instructions" for mixing juice require 1 can of concentrate with 3 cans of water --> this will produce 4 total cans of juice

A "can" is defined here as 12 ounces, so 4 cans of juice = 48 ounces

We're asked for 200 6-ounce servings; each can of juice gives us EIGHT 6-ounce servings.

200/8 = 25 cans needed

Final Answer: A

GMAT assassins aren't born, they're made,
Rich