Question 1091818
Let {{{ a }}} = the price of a senior ticket
Let {{{ b }}} = the price of a student ticket
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(1) {{{ 14a + 6b = 180 }}}
(2) {{{ 12a + b = 117 }}}
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(1) {{{ 7a + 3b = 90 }}}
Multiply both sides of (2) by {{{ 3 }}} and
subtract (1) from (2)
(2) {{{ 36a + 3b = 351 }}}
(1) {{{ -7a - 3b = -90 }}}
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{{{ 29a = 261 }}}
{{{ a = 9 }}}
and
(1) {{{ 7a + 3b = 90 }}}
(1) {{{ 7*9 + 3b = 90 }}}
(1) {{{ 63 + 3b = 90 }}}
(1) {{{ 3b = 27 }}}
(1) {{{ b = 9 }}}
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I get the same price for either senior or student
$9/ticket. Get another opinion if needed