For a school fundraiser, Troy sold 28 bags of popcorn and 40 candy bars and made $282. Jake sold 17 bags of popcorn and 20 candy bars and made $160.50. What was the cost of a bag popcorn?

A. $10.35
B. $6.00
C. $6.27
D. $6.50

Cost of a bag popcorn = $6.5

Step-by-step explanation:

Given:

Number of popcorn bags sold by Troy = 28

Number of candy bar sold by Troy = 40

Number of popcorn bags sold by Jake = 17

Number of candy bar sold by Jake = 20

Amount Troy earn = $282

Amount Jake earn = $160.5

Find:

Cost of a bag popcorn

Computation:

Assume;

Cost of a bag popcorn = a

Cost of a candy bar = b

28a + 40b = 282eq1

17a + 20b = 160.5eq2

eq2 x 2

34a + 40b = 321eq3

eq3 - eq1

6a = 39

a = 6.5

Cost of a bag popcorn = $6.5

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