document.write( "Question 74981: Ten cups of a restaurants' house Italian dressing is made by blending olive oil costing $1.50 per cup with vinegar that costs $.25 per cup. How many cups of each are used if the cost of the blend is $.50 per cup? \n" ); document.write( "
Algebra.Com's Answer #53858 by funmath(2933)\"\" \"About 
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Ten cups of a restaurants' house Italian dressing is made by blending olive oil costing $1.50 per cup with vinegar that costs $.25 per cup. How many cups of each are used if the cost of the blend is $.50 per cup?
\n" ); document.write( "Let the amount of oil be: x
\n" ); document.write( "The the rest of the 10 cups is the amount of vinegar: 10-x
\n" ); document.write( "The total mixture amount is: 10 cups
\n" ); document.write( "The cost of oil is: 1.50x
\n" ); document.write( "The cost of vinegar is: .25(10-x)
\n" ); document.write( "The cost of the mixture is: .50(10)=5
\n" ); document.write( "The problem to solve is:
\n" ); document.write( "1.50x+.25(10-x)=5
\n" ); document.write( "1.50x+2.5-.25x=5
\n" ); document.write( "1.25x+2.5=5
\n" ); document.write( "1.25x+2.5-2.5=5-2.5
\n" ); document.write( "1.25x=2.5
\n" ); document.write( "1.25x/1.25=2.5/1.25
\n" ); document.write( "x=250/125
\n" ); document.write( "x=2
\n" ); document.write( "The amount of oil is: x=2 cups
\n" ); document.write( "The amount of vinegar is: 10-x=10-2=8 cups
\n" ); document.write( "Sanity check, does this make sense?
\n" ); document.write( "1.50(2)+.25(8)=.5(10)
\n" ); document.write( "3+2=5
\n" ); document.write( "5=5 yes.
\n" ); document.write( "Happy Calculating!!!! \n" ); document.write( "
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