Question

Molly earns a rebate each month on her movie tickets and books. She earns $0.25 for each movie ticket and $2 for each book. Last month Molly purchased 4 movie tickets and earned $17. Part A: Create an equation that will determine the number of books she purchased. (3 points) Part B: Solve this equation justifying each step with an algebraic property of equality. (6 points) Part C: How many books did Molly purchase last month? (1 point)

Answer 1

The algebraic equation is 4(0.25)+2x=17

STEP 1: Simplify both sides of the equation

1+2x=17  or  2x+1

STEP 2: Subtract both sides

2x = 16

STEP 3: Divide both sides by 2

2x/2 = 16/2

x = 8

Molly purchased 8 books last month