Question

A group of friends are at a baseball game and are purchasing souvenirs. Olivia purchased 1 t-shirt and 5 baseball caps, spending a total of $165. Her Marco purchased 1 t-shirt and 4 baseball caps, which cost him a total of $137. Assuming that all of the t-shirts and all of the caps are the same price, what is the price of each?

Answer 1

baseball cap = $28

t-shirt = $25

Explanation:

Olivia: t +5b = 165

Marco: t + 4b = 137

isolate t in Olivia's equation

t = 165 - 5b

plug t into Marco's equation

165 - 5b + 4b = 137

165 - b = 137

b = 28

plug b into either equation

t + 4b = 137

t + 4(28) = 137

t + 112 = 137

t = 25