Question 316205
Let M be the gallons of maple, C gallons of corn.
1.{{{M+C=50}}}
2.{{{6.00M+0.80C=2.36(50)=118}}}
Multiply eq. 1 by (-6) and add to eq. 2,
{{{-6M-6C+6M+0.8C=-300+118}}}
{{{-5.2C=-182}}}
{{{highlight(C=35)}}}
Then from eq. 1,
{{{M+35=50}}}
{{{highlight( M=15)}}}
15 gallons of maple and 35 gallons of corn syrup.