Question 1135347
Let {{{ a }}} = charge for adults
Let {{{ b }}} = charge for children
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(1) {{{ 50a + 50b = 800 }}}
(1) {{{ a + b = 16 }}}
and
(2) {{{ 65a + 75b = 1100 }}}
(2) {{{ 13a +15b = 220 }}}
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Multiply both sides of (1) by {{{ 13 }}}
and subtract (1) from (2)
(2) {{{ 13a +15b = 220 }}}
(1) {{{ -13a - 13b = -208 }}}
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{{{ 2b = 12 }}}
{{{ b = 6 }}}
and
(1) {{{ a + 6 = 16 }}}
(1) {{{ a = 10 }}}
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The golf course charges $10 for adults
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check answers by plugging back into original equations