to make a little spending money, taylor decided to sell special souvenir programs for the exeter andover wrestling match. the printing cost was $0.32 per program, and they were priced at $0.50 each. Taylor sold all but 50 programs, and made a small profit of $11. How many programs were printed?

Question

Mathematics

Sierra Olson

28 December, 14:52

to make a little spending money, taylor decided to sell special souvenir programs for the exeter andover wrestling match. the printing cost was $0.32 per program, and they were priced at $0.50 each. Taylor sold all but 50 programs, and made a small profit of $11. How many programs were printed?

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Answers (1)

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Khalil Clark · Answer 1

Answer: she printed 200 programs

Step-by-step explanation:

Let x represent the number of programs that were printed.

The printing cost was $0.32 per program. This means that the total cost of printing x programs would be 0.32 * x = $0.32x

They were priced at $0.50 each. This means that the total revenue from selling x programs is 0.5 * x = $0.5x

Taylor sold all but 50 programs. It means that the number of programs sold is

x - 50 and the total revenue from the number of programs sold is 0.5 (x - 50)

Revenue - cost = profit

Taylor made a small profit of $11. It means that

0.5 (x - 50) - 0.32x = 11

0.5x - 25 - 0.32x = 11

0.5x - 0.32x = 11 + 25

0.18x = 36

x = 36/0.18

x = 200