Question 572988
Two kinds of coffee were blended together, one worth $6.50 a pound and the other worth $5.95 a pound. The blend contained ten pounds more than twice as much as the $5.95 coffee than of the $6.50 coffee. How much of each kind was used if the value of the blend is $280.30?
.
Let x = amount (lbs) of $5.95 coffee
then
2x+10 = amount (lbs) of $6.50 coffee
.
5.95x + 6.50(2x+10) =  280.30
5.95x + 13x+65 =  280.30
18.95x+65 =  280.30
18.95x =  215.3
x = 11.36 lbs ($5.95 coffee)
.
$6.50 coffee:
2x+10 = 2(11.36)+10 = 32.72 lbs