Question

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

Answer 1

Answer:

A. 25

Step-by-step explanation:

One part of concentrate is required for every 3 part of water for the juice serving  

Note that since the unit of the water and concentrate are the same, they will form 1+3 part of the orange juice  

1 can of concentrate + 3 cans of water = 4 can of orange juice

Therefore  

Unknown quantity of concentrate + 3 (unknown quantity of water) = 4 (unknown quantity of water)

Let x be the unknown  

Recall that we want to serve 200 6ounce of orange juice  

In total we need  

200 X 6 ounce = 1200 ounce of orange juice  

In order to get 1200 part of orange juice  

X + 3x = 1200

4x =1200

X = 300

300 ounce of concentrate is needed with 900 ounce of water to give 1200 ounce of orange juice  

However the concentrate is in 12 ounce can how many will be required to give us 300 ounce

300/12 = 25 cans