Question

topic 5 mid - topic assessment
five friends attend a matinee movie and spend $8 per ticket. they also purchase a small bag of popcorn each. the friends spend a total of $62.50. let x be the price of a small bag of popcorn.
part a
which equation represents the situation?
○ 62.50 + 8x = 40
○ 40 + 8x = 62.50
○ 40 + 5x = 62.50
○ 62.50 + 5x = 40
part b
how much does each small bag of popcorn cost?
$

Explanation:

Step1: Calculate total ticket cost

Total ticket cost = $5 \times 8 = 40$

Step2: Set up correct equation

Total cost = ticket cost + popcorn cost: $40 + 5x = 62.50$

Step3: Isolate the popcorn cost term

Subtract 40 from both sides: $5x = 62.50 - 40$
$5x = 22.50$

Step4: Solve for x

Divide both sides by 5: $x = \frac{22.50}{5}$
$x = 4.50$

Answer:

Part A: 40 + 5x = 62.50
Part B: $\$4.50$