Question 1025644
Let {{{ a }}} = number of adult tickets sold
Let {{{ b }}} = number of children's tickets sold
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(1) {{{ b = a + 6 }}}
(2) {{{ 6a + 4b = 184 }}}
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(2) {{{ 3a + 2b = 92 }}}
and
(1) {{{ -a + b = 6 }}}
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Multiply both sides of (1) by {{{ 3 }}}
and add the equations
(2) {{{ 3a + 2b = 92 }}}
(1) {{{ -3a + 3b = 18 }}}
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{{{ 5b = 110 }}}
{{{ b = 22 }}}
and
(1) {{{ b = a + 6 }}}
(1) {{{ 22 = a + 6 }}}
(1) {{{ a = 16 }}}
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He sold 16 adult tickets and 22 children's tickets
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check:
2) {{{ 6a + 4b = 184 }}}
(2) {{{ 6*16 + 4*22 = 184 }}}
(2) {{{ 96 + 88= 184 }}}
(2) {{{ 184 = 184 }}}
OK