Lamar's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Lamar $5.30 per pound, and type B coffee costs $4.25 per pound. This month's blend used three times as many pounds of type B coffee as type A, for a total cost of $559.55. How many pounds of type A coffee were used?

Eisregiony1

Eisregiony1

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2022-09-03

Lamar's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Lamar $5.30 per pound, and type B coffee costs $4.25 per pound. This month's blend used three times as many pounds of type B coffee as type A, for a total cost of $559.55. How many pounds of type A coffee were used?

Answer & Explanation

Adam Bradley

Adam Bradley

Beginner2022-09-04Added 10 answers

Lamar's coffee shop
Type 'A' = $5.30 per pound
Type 'B' = $ 4.25 per pound
According to the question
This month's blend used three as many poundes of 'type B' as 'type A'
Let x = number of lbs of type A
Then, total lbs of coffe = x+3x
Total cost
5.30 x + 4.25 ( 3 x ) = 559.55 5.30 x + 12.750 x = 559.55 18.050 x = 559.55 x = 559.55 18 = 31   l b s
So numbers of pounds of type A coffe: 31 lbs.

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