Charmaine's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Charmaine $4.10 per pound, and type B coffee costs $5.70 per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of $465.00. How many pounds of type A coffee were used?

Question

John Ruiz

Mathematics

8 June, 09:55

Charmaine's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Charmaine $4.10 per pound, and type B coffee costs $5.70 per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of $465.00. How many pounds of type A coffee were used?

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Answers (1)

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Salvatore May · Answer 1

Type A cost=4.10=a

Type B cost=5.70=b

twice as many B as A, an unknown "n" amount of times equal 465$

(2*b+a) * n=465

insert the a/b prices:

(2*5.70+4.10) * n=465

n=465 / (11.40+4.10)

n=465/15.50

n=30

so 30 pounds type A and 30*2=60 pounds type B were used