Question

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?
○ $62.50 + 5x = 40$
○ $40 + 5x = 62.50$
○ $40 + 6x = 62.50$
○ $62.50 + 6x = 40$
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 total cost equation

Let $x$ = popcorn price per bag. Total cost: $40 + 5x = 62.50$

Step3: Solve for $x$

Subtract 40 from both sides: $5x = 62.50 - 40 = 22.50$
Divide by 5: $x = \frac{22.50}{5} = 4.50$

Answer:

Part A:

B. $40 + 5x = 62.50$

Part B:

$\$4.50$