SOLUTION: How many gallons of fuel costing $1.15 a gallon must be mixed with a fuel costing $.85 per gallon to get 40 gallons of a fuel that costs $1 per gallon?

Question 254288: How many gallons of fuel costing $1.15 a gallon must be mixed with a fuel costing $.85 per gallon to get 40 gallons of a fuel that costs $1 per gallon?
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
This is a mixture problem. Using the given information we can create the following table:
FUEL . . . . . . . ..$ . . . . . . . . gallons . . . . . . . . .$*gallons
1.15 . . . . . . . .($1.15) . . . . . . .G . . . . . . . . . . . .($1.15G)
.80 . . . . . . . . .($.85) . . . . . . . .40 - G . . . . . . . . 34 - .85G
mixture . . . . . ($1) . . . . . . . . . .40 . . . . . . . . . . . .40
NOw in the last column,
1.15G + 34 - .85G = 40
SOlving for G, we get
.3G = 6
G = 20 gallons
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