Question 747479
Let {{{ s }}} = number of student tickets sold
Let {{{ n }}} = number of non-student tickets sold
given:
(1) {{{ s + n = 358 }}}
(2) {{{ 1.5s + 3.25n = 725.25 }}}
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(2)  {{{ 150s + 325n = 72525 }}}
Multiply both sides of (1) by {{{ 150 }}}
and subtract (1) from (2)
(2)  {{{ 150s + 325n = 72525 }}}
(1) {{{ -150s - 150n = 53700 }}}
{{{ 175n = 18825 }}}
{{{ n = 107.57 }}}
and, since
(1) {{{ s + n = 358 }}}
(1) {{{ s + 107.57 = 358 }}}
(1) {{{ s = 250.43 }}}
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I think there's a problem somewhere,
because I should end up with whole
numbers for answers.
The method is OK though