SOLUTION: Kevin's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Kevin
$4.05
per pound, and type B coffee costs
$5.55
per pound. This month's
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Question 893672: Kevin's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Kevin
$4.05
per pound, and type B coffee costs
$5.55
per pound. This month's blend used four times as many pounds of type B coffee as type A, for a total cost of
$551.25
. How many pounds of type A coffee were used?
Answer by josgarithmetic(39615) (Show Source): You can put this solution on YOUR website!
u = pounds of type A
v = pounds of type B
L = price for type A, $4.05 per pound
H = price for type B, $5.55 per pound
C = cost of blend, $551.25
for this month's blend
The ratio given means .
Account for cost, C.
Substitute for v.
Back to the formula for v,
.
Solving all in symbols was neater, but you do not need to do this way all the time. You now have the formulas for u and v and can just substitute the given values and compute.
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