Question

Mr. Sanchez’s class sold fruit pies for $1.65 each and Mr. Kelly’s class sold bottles of fruit juice for $1.36 each. Together, the classes sold 79 items and earned $118.17 for their school.

(a) Write and solve a system of equations that model the problem. Show all your work. (A is answered already)
(b) Which class earned more money?
(c) How much more money did that class earn?

Answer 1

To answer the problem we let x and y be the number of fruit pies and fruit juice that Mr. Sanchez and Mr. Kelly's classes sold, respectively. The system of linear equation that would best represent the scenario above is,
x + y = 79
1.65x + 1.36y = 118.17
The values of x and y are 37 and 42, respectively.
(a) The items above answer the first question
(b) amount of money earned by both classes:
Mr. Sanchez's: (1.65)(37) = $61.05
Mr. Kelly's: (1.36)(42) = $57.12
Thus, Mr. Sanchez's class earned more money.
(c) $61.05 - $57.12 = $3.93.