Two friends went to a restaurant and ordered one plain pizza and two sodas. Their bill totaled $15.95. Later that day, five friends went to the sane restaurant. They ordered three plain pizzas and each person had one soda. Their bill totaled $45.90. Write and solve a system of equations to determine the price of one plain pizza.

Question

Steve Harrell

Mathematics

21 July, 21:36

Two friends went to a restaurant and ordered one plain pizza and two sodas. Their bill totaled $15.95. Later that day, five friends went to the sane restaurant. They ordered three plain pizzas and each person had one soda. Their bill totaled $45.90. Write and solve a system of equations to determine the price of one plain pizza.

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Answers (1)

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Dominique Armstrong · Answer 1

Assume the price of one pizza is x and the price of one soda is y.

1) x+2y=15.95

2) 3x+5y=45.90

multiply equation (1) by - 3 and add the result to equation (2).

y=$1.95 (one soda)

Replace y in the first equation: x=$12.05