SOLUTION: How many gallons of fuel costing $1.15 per gallon must be mixed with 20 gallons of a fuel costing 0.85 per gallon to obtaain a mixture costing $1 per gallon?

Question 189323: How many gallons of fuel costing $1.15 per gallon must be mixed with 20 gallons of a fuel costing 0.85 per gallon to obtaain a mixture costing $1 per gallon?
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let x = the required number of gallons of fuel @ $1.15 per gallon.
From the problem description, you can write:
x($1.15)+20($0.85) = (20+x)($1.00) Simplify and solve for x.
1.15x+17 = 20+x Subtract x from both sides.
0.15x+17 = 20 Subtract 17 from both sides.
0.15x = 3 Finally, divide both sides by 0.15
x = 20
You would need to add 20 gallons of fuel @ $1.15 per gallon to 20 gallons of fuel @ $0.85 per gallon to obtain 40 gallons of fuel @ $1.00 per gallon.

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