Question

Brandon earns a rebate each month on his meals and movie tickets. He earns $0.50 for each movie ticket and $2 for each meal. Last month Brandon purchased 22 movie tickets and earned $25.
Part A: Create an equation that will determine the number of meals he purchased. (3 points)

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

Answer 1

Let ticket be x and meal be y

So $0.50 for each movie ticket = 0.50x

$2 for each meal = 2y

He purchased 22 tickets, so x = 22

0.50 * 22 = $ 11

Now the total value is $25 (with both ticket and meal)

total = t

0.50x + 2y = t

you know x = 22 and t = 25

11 + 2y = 25

Part A)

2y = 25 -11

y = 14/2

y = 7

Number of meal is 7

Part B)

(don't know about part B)

0.50x + 2y = 25

0.50(22) + 2(7) = 25

11 + 14 = 25

25 = 25