SOLUTION: Amanda's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Amanda $4.60 per pound, and type B coffee costs $5.95 per pound. This month's ble

Question 910488: Amanda's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Amanda
$4.60 per pound, and type B coffee costs $5.95 per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of
$511.50. How many pounds of type A coffee were used?
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
We know that the total for the two mixes is $511.50
4.60*x+5.95*y=511.5
We know that the mix at 4.60 has 2 times the amount at 5.95
We substitute for x
4.60*(2*y)+5.95*y=511.5
We multiply out
(9.20+5.95)*y=511.5
We combine like terms.
15.15*y=511.5
Isolate y
y= 33.7624
y=33.7624 at 5.95
Calculate x
x=2*y
x=67.5248 at 4.60
Your total for x is 67.5248
Your total for y is 33.7624
Your total for x and y is 101.2871
Total invested 6752.48 + 3376.24=101.2871
We check
4.6*67.5248+5.95* 33.7624=511.5
310.61+ 200.89=511.5
511.5=511.5
Since this statement is TRUE and neither x nor y is negative then all is well.

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