sreenunna 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 prepate 200 6-ounce servings of orange juice?
A) 25
B) 34
C) 50
D) 67
E) 100
Here's a slightly different approach that uses 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. This is acceptable since 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
