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Question 1203944: Aldo's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs $4.10 Aldo per pound, and type B coffee costs per $5.15 pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of 288.00. How many pounds of type A coffee were used?
Found 3 solutions by josgarithmetic, ikleyn, greenestamps:
Answer by josgarithmetic(39617)   (Show Source):
You can put this solution on YOUR website! several thousands of these have been solved on this site.
TYPE PRICE QTY. COST
A 4.10 x 4.1x
B 5.15 2x 5.15*2x
Blend 288.00
Understand this, and know what to do with it.
Answer by ikleyn(52786)  (Show Source):
You can put this solution on YOUR website! .
Aldo's Coffee Shop makes a blend that is a mixture of two types of coffee.
Type A coffee costs $4.10 Aldo per pound, and type B coffee costs per $5.15 pound.
This month's blend used twice as many pounds of type B coffee as type A,
for a total cost of 288.00. How many pounds of type A coffee were used?
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x = pounds of coffee type A;
2x = pounds of coffee type B.
The total cost equation
4.10x + 5.15*(2x) = 288.00 dollars.
Simplify and find x
4.10x + 10.30x = 288
14.40x = 288
x = 288/14.40 = 20.
ANSWER. 20 pounds of coffee type A.
Solved.
Answer by greenestamps(13200)  (Show Source):
You can put this solution on YOUR website!
This month's blend uses twice as much of B as A, so the blend is 2/3 of B and 1/3 of A.
The price per pound of the blend, using 2 parts of B and 1 part of A, is
Since the total cost of the blend is $288, the number of pounds is 288/4.80 = 60.
One-third of the blend is type A; 1/3 of 60 is 20.
ANSWER: 20 pounds of type A
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