Question 680552
i think this is the easiest way to understand it:
Let {{{ a }}} = number of tickets sold to adults over 60
Let {{{ b }}} = number of tickets sold to all others
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given:
(1) {{{ a + b = 458 }}}
(2) {{{ 4a + 7b = 2300 }}}
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Multiply both sides of (1) by {{{ 4 }}}
and subtract (1) from (2)
(2) {{{ 4a + 7b = 2300 }}}
(1) {{{ -4a - 4b = -1832 }}}
{{{ 3b = 468 }}}
{{{ b = 156 }}}
and, since
(1) {{{ a + b = 458 }}}
(1) {{{ a + 156 = 458 }}}
(1) {{{ a = 302 }}}
302 tickets were sold to adults over 60
(156 tickets were sold to all others)
Hope this helps