Question 1023082
Let {{{ a }}} = the price of an adult ticket
Let {{{ b }}} = the price of a child's ticket
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(1) {{{ 12a + 2b = 164 }}}
(2) {{{ 6a + 14b = 134 }}}
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(1) {{{ 6a + b = 82 }}}
Subtract (1) from (2)
(2) {{{ 6a + 14b = 134 }}}
(1) {{{ -6a - b = -82 }}}
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{{{ 13b =  52 }}}
{{{ b = 4 }}}
and
(1) {{{ 6a + b = 82 }}}
(1) {{{ 6a + 4 = 82 }}}
(1) {{{ 6a = 78 }}}
(1) {{{ a = 13 }}}
An adult ticket costs $13
A child's ticket costs $4