Question

FOR 20 points

Show your work neatly for each problem.
1. Michelle and Cameron are selling popcorn for a school fundraiser. Michelle sold 10 tins of cheese
popcorn and 8 tins of caramel popcorn for a total of $446. Cameron sold 22 tins of cheese popcorn and
11 tins of caramel popcorn for a total of $803. Write a system of equations to determine the cost one tin
of cheese popcorn and one tin of caramel popcorn. Show all your work.

Answer 1

one tin of cheese $23

one tin of caramel $27

Explanation:

let 'x' = cost of cheese tin

let 'y' = cost of caramel tin

10x + 8y = 446

22x + 11y = 803

i multiplied the first equation by -11 and the second by 8 to eliminate the 'y' terms

-110x - 88y = -4906

+ 176x + 88y = 6424

66x = 1518

x = 1518 / 66

x = 23

find 'y': 10(23) + 8y = 446

230 + 8y = 446

8y = 216

y = 27