Question

Erica earns a rebate each month on her meals and movie tickets. She earns $3 for each movie ticket and $0.80 for each meal. Last month Erica purchased 15 meals and earned $18.

Part A: Create an equation that will determine the number of movie tickets she purchased. (3 points)

Part B: Solve this equation justifying each step with an algebraic property of equality. (6 points)

Part C: How many movie tickets did Erica purchase last month?

Answer 1

A) Let t represent the number of tickets Erica bought. The the equation describing her rebates can be written as

... 3t + 0.80×15 = 18

B) Here's the solution to the equation.

... 3t + 12 = 18 . . . . . . simplify; rules of arithmetic

... 3t = 6 . . . . . . . . . . .subtract 12; subtraction property of equality

... t = 2 . . . . . . . . . . . . divde by 3; division property of equality

C) Erica bougth 2 movie tickets last month.