Question 280121
Let {{{m}}} = galloons of maple syrup needed
Let {{{c}}} = gallons of corn syrup needed
given:
{{{m + c = 50}}} gal
{{{600m + 80c = 236*50}}} (in cents)
By substitution:
{{{600m + 80*(50 - m) = 11800}}}
{{{600m + 4000 - 80m = 11800}}}
{{{520m = 7800}}}
{{{m = 15}}}
and, since
{{{m + c = 50}}}
{{{c = 50 - 15}}}
{{{c = 35}}}
15 gallons of maple syrup and 35 gallons of corn syrup are needed
check:
{{{600m + 80c = 236*50}}}

{{{600m + 80c = 11800}}}
{{{600*15 + 80*35 = 11800}}}
{{{9000 + 2800 = 11800}}}
{{{11800 = 11800}}}
OK