Question 906125: Elsa's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Elsa $5.90 per pound,
and type B coffee costs $4.30 per pound.
This month's blend used four times as many pounds of type B coffee as type A, for a total cost of $554.40
. How many pounds of type A coffee were used?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Elsa's Coffee Shop makes a blend that is a mixture of two types of coffee.
Type A coffee costs Elsa $5.90 per pound,
and type B coffee costs $4.30 per pound.
This month's blend used four times as many pounds of type B coffee as type A, for a total cost of $554.40
. How many pounds of type A coffee were use
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Quantity Equatiion:: B = A + 4
Value Equation:: 5.9A + 4.3B = 554.4
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Substitute for "B" and solve for "A::
5.9A + 4.3(A+4) = 554.4
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10.2A + 17.2 = 554.4
10.2A = 537.2
A = 52 2/3 pounds (amt. of Type A coffee used)
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Cheers,
Stan H.
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