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

Algebra ->  Customizable Word Problem Solvers  -> Coins -> 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      Log On

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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(39614) About Me  (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
v%2Fu=4 for this month's blend

The ratio given means v=4u.

Account for cost, C.
Lu%2BHv=C

Substitute for v.
Lu%2BH%284u%29=C
Lu%2B4Hu=C
%28L%2B4H%29u=C
highlight%28u=C%2F%28L%2B4H%29%29

Back to the formula for v,
highlight%28v=4C%2F%28L%2B4H%29%29.

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.