A coffee shop purchased 60 pounds of Guatemalan coffee beans and 90 pounds of Nicaraguan coffee beans. The total purchase was $180. The next week it purchased 80 pounds of Guatemalan coffee and 20 pounds of Nicaraguan coffee, and the cost was $100. Write and solve a system of equations to find cost per pound of both the Guatemalan and Nicaraguan coffee beans.

Question

Mathematics

Tippy

17 April, 02:58

A coffee shop purchased 60 pounds of Guatemalan coffee beans and 90 pounds of Nicaraguan coffee beans. The total purchase was $180. The next week it purchased 80 pounds of Guatemalan coffee and 20 pounds of Nicaraguan coffee, and the cost was $100. Write and solve a system of equations to find cost per pound of both the Guatemalan and Nicaraguan coffee beans.

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Answers (1)

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Case Harper · Answer 1

60lbs + 90lbs = 150 lbs in total.

$180: 150lbs = $1.20 per pound

80lbs + 20lbs = 100lbs in total

$100 : 100lbs = $1 per pound

So the average cost per pound of the coffee beans is about $1 each