Question 947311
Let {{{ a }}} = cost of 1 adult ticket
Let {{{ b }}} = cost of 1 child ticket
(1) {{{ 1*a + 12b = 143 }}}
(2) {{{ 6a + 8b = 154 }}}
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Multiply both sides of (1) by {{{ 6 }}}
and subtract (2) from (1)
(1) {{{ 6a + 72b = 858 }}}
(2) {{{ -6a - 8b = -154 }}}
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{{{ 64b = 704 }}}
{{{ b = 11 }}}
and
(1) {{{ 1*a + 12b = 143 }}}
(1) {{{ 1*a + 12*11 = 143 }}}
(1) {{{ a + 132 = 143 }}}
(1) {{{ a = 143 - 132 }}}
(1) {{{ a = 11 }}}
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Adult tickets are $11 ea
Child tickets are $11 ea
strange result
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check:
(1) {{{ 1*a + 12b = 143 }}}
(1) {{{ 1*11 + 12*11 = 143 }}}
(1) {{{ 11 + 132 = 143 }}}
(1) {{{ 143 = 143 }}}
OK
(2) {{{ 6a + 8b = 154 }}}
(2) {{{ 6*11 + 8*11 = 154 }}}
(2) {{{ 66 + 88 = 154 }}}
(2) {{{ 154 = 154 }}}
OK