How many ounces of each will be used if the juice drink is to be sold in 5​-ounce ​cans?

Question

A juice company sells apple juice for

12 cents an ounce and apple drink for 6 cents an ounce. They wish to market and sell for 10 cents an ounce cans of juice drink that are part juice and part drink. How many ounces of each will be used if the juice drink is to be sold in

5​-ounce cans?

juice oz-

drink oz

Answer 1

Two equations 2 unknowns

J= number of ounces of Apple Juice

D=number of ounces of Apple Drink used to dilute the juice

J+D = 5

12J + 6D = 10(5)=50

Multiply first equation by 12 and subtract it from the 2nd to get

6D=10

D = 1 2/3 ounces

J=5- 1 2/3 = 3 1/3 ounces