document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #142038 by Earlsdon(6294) $\"\"$ $\"About$

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Let x = the required number of gallons of fuel @ $1.15 per gallon.
\n" ); document.write( "From the problem description, you can write:
\n" ); document.write( "x($1.15)+20($0.85) = (20+x)($1.00) Simplify and solve for x.
\n" ); document.write( "1.15x+17 = 20+x Subtract x from both sides.
\n" ); document.write( "0.15x+17 = 20 Subtract 17 from both sides.
\n" ); document.write( "0.15x = 3 Finally, divide both sides by 0.15
\n" ); document.write( "x = 20
\n" ); document.write( "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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