Question

Alicia purchased

H
H half-gallons of ice cream for $2.50 each and
P
P packages of ice cream cones for $4.50 each. She purchased 16 items and spent $63. Which system of equations could be used to determine how many of each item Alicia purchased?

Answer 1

Alicia bought 11 half gallons of ice cream and 5 packages of ice cream cones and had $1 left over.

Explanation:

Since Alicia purchased H half-gallons of ice cream for $ 2.50 each and P packages of ice cream cones for $ 4.50 each, and she purchased 16 items and spent $ 63, to determine which system of equations could be used to determine how many of each item Alicia purchased the following calculation must be performed:

16 x 4.5 + 0 x 2.5 = 72

10 x 4.5 + 6 x 2.5 = 60

11 x 4.5 + 5 x 2.5 = 62

12 x 4.5 + 4 x 2.5 = 64

So, Alicia bought 11 half gallons of ice cream and 5 packages of ice cream cones and had $ 1 left over.