document.write( "Question 423406: Maple syrup worth $6.00 a gallon and corn syrup worth .80 cents a gallon are used to make a mixture worth $2.36 a gallon. How many gallons of each kind of syrup are need to make 50 gallons of the mixture? \n" ); document.write( "

Algebra.Com's Answer #295333 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"a\"$ = gallons of maple syrup needed
\n" ); document.write( "Let $\"b\"$ = gallons of corn syrup needed
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+%28600a+%2B+80b%29+%2F+50+=+236+\"$
\n" ); document.write( "(2) $\"+a+%2B+b+=+50+\"$
\n" ); document.write( "---------------
\n" ); document.write( "Multiply both sides of (2) by $\"80\"$ and
\n" ); document.write( "subtract from (1)
\n" ); document.write( "(1) $\"600a+%2B+80b+=+11800+\"$
\n" ); document.write( "(2) $\"-80a++-+80b+=+-4000+\"$
\n" ); document.write( " $\"+520a+=+7800+\"$
\n" ); document.write( " $\"+a+=+15+\"$
\n" ); document.write( "and, since,
\n" ); document.write( " $\"+a+%2B+b+=+50+\"$
\n" ); document.write( " $\"+b+=+50+-+15+\"$
\n" ); document.write( " $\"+b+=+35+\"$
\n" ); document.write( "15 gallons of maple syrup are needed
\n" ); document.write( "35 gallons of corn syrup are needed \n" ); document.write( "

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