John's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs John $4.70 per pound, and type B coffee costs $5.90 per pound. This month, John made 181 pounds of the blend, for a total cost of $967.10. How many pounds of type A coffee did he use?

Question

Evony

Mathematics

6 December, 21:25

John's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs John $4.70 per pound, and type B coffee costs $5.90 per pound. This month, John made 181 pounds of the blend, for a total cost of $967.10. How many pounds of type A coffee did he use?

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Talon Livingston · Answer 1

A + B = 181

A=181-B

4.70A+5.90B = 967.10

4.70 (181-B) + 5.90B = 967.10

850.70-4.70B+5.90B=967.10

850.70+1.2B = 967.10

1.2B=116.40

B = 116.40/1.2 = 97

A=181-97 = 84 pounds of type A coffee