document.write( "Question 280121: 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 needed to make 50 gallons of the mixture? \n" ); document.write( "

Algebra.Com's Answer #203561 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"m\"$ = galloons of maple syrup needed
\n" ); document.write( "Let $\"c\"$ = gallons of corn syrup needed
\n" ); document.write( "given:
\n" ); document.write( " $\"m+%2B+c+=+50\"$ gal
\n" ); document.write( " $\"600m+%2B+80c+=+236%2A50\"$ (in cents)
\n" ); document.write( "By substitution:
\n" ); document.write( " $\"600m+%2B+80%2A%2850+-+m%29+=+11800\"$
\n" ); document.write( " $\"600m+%2B+4000+-+80m+=+11800\"$
\n" ); document.write( " $\"520m+=+7800\"$
\n" ); document.write( " $\"m+=+15\"$
\n" ); document.write( "and, since
\n" ); document.write( " $\"m+%2B+c+=+50\"$
\n" ); document.write( " $\"c+=+50+-+15\"$
\n" ); document.write( " $\"c+=+35\"$
\n" ); document.write( "15 gallons of maple syrup and 35 gallons of corn syrup are needed
\n" ); document.write( "check:
\n" ); document.write( " $\"600m+%2B+80c+=+236%2A50\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"600m+%2B+80c+=+11800\"$
\n" ); document.write( " $\"600%2A15+%2B+80%2A35+=+11800\"$
\n" ); document.write( " $\"9000+%2B+2800+=+11800\"$
\n" ); document.write( " $\"11800+=+11800\"$
\n" ); document.write( "OK \n" ); document.write( "

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