Question

16. Juice You bought 12 1-gallon bottles of apple and orange juice for a

school dance. The apple juice was on sale for $1.00 per gallon bottle. The
orange juice was $1.50 per 1 gallon bottle. You spent $15.00. Assign
labels to the verbal model below. Write an algebraic model. How many
bottles of each type of juice did you buy?

Answer 1

Explanation:

let x be apple juice and y be orange juice

12 = x + y

x = 12 - y

15 = 1x + 1.5y

x = 15 - 1.5y

set the equations as equal

12 - y = 15 - 1.5y

solve for y

12 + .5y = 15

.5y = 3

y = 6, you bought 6 bottles of orange juice

so, 12 = x + 6 , x = 6 , you bought 6 bottles of apple juice