Question 423406
Let {{{a}}} = gallons of maple syrup needed
Let {{{b}}} = gallons of corn syrup needed
given:
(1) {{{ (600a + 80b) / 50 = 236 }}}
(2) {{{ a + b = 50 }}}
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Multiply both sides of (2) by {{{80}}} and
subtract from (1)
(1) {{{600a + 80b = 11800 }}}
(2) {{{-80a  - 80b = -4000 }}}
{{{ 520a = 7800 }}}
{{{ a = 15 }}}
and, since,
{{{ a + b = 50 }}}
{{{ b = 50 - 15 }}}
{{{ b = 35 }}}
15 gallons of maple syrup are needed
35 gallons of corn syrup are needed