document.write( "Question 566527: Hank has some 60% maple syrup and some 100% maple syrup in his restaurant. How many ounces of EACH should he use to make 100 ounces of 85% maple syrup \n" ); document.write( "

Algebra.Com's Answer #366241 by Maths68(1474) $\"\"$ $\"About$

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Solution A
\n" ); document.write( "Amount =x ounces
\n" ); document.write( "Concentration =60% = 0.6\r
\n" ); document.write( "\n" ); document.write( "Solution B
\n" ); document.write( "Amount = 100-x ounces
\n" ); document.write( "Concentration =100% = 1\r
\n" ); document.write( "\n" ); document.write( "Resultant Solution
\n" ); document.write( "Amount =100 ounces
\n" ); document.write( "Concentration =85%=0.85\r
\n" ); document.write( "\n" ); document.write( "[Amount Solution A * Concentration A] + [Amount Solution B * Concentration of B] = Amount of Resultant * Concentration of resultant
\n" ); document.write( "(x)(0.6)+(100-x)(1)=(100)(0.85)
\n" ); document.write( "0.6x+100-x=85
\n" ); document.write( "-0.4x=85-100
\n" ); document.write( "-0.4x=-15
\n" ); document.write( "-0.4x/-0.4=-15/-0.4
\n" ); document.write( "x=37.5 \r
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\n" ); document.write( "\n" ); document.write( "Solution A
\n" ); document.write( "Amount = x = 37.5 ounces
\n" ); document.write( "Concentration =60% = 0.6\r
\n" ); document.write( "\n" ); document.write( "Solution B
\n" ); document.write( "Amount = 100-x = 100-37.5 = 62.5 ounces
\n" ); document.write( "Concentration =100% = 1\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Hank has to mix 37.5 ounces of 60% maple syrup and 62.5 ounces of 100% maple syrup to make 100 ounces of 85% maple syrup\r
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