Question 409645
 Let {{{a}}} equal the number of adult tickets sold
 Let {{{s}}} equal the number of student tickets sold
given:
(1) {{{a + s = 456}}}
(2) {{{350a + 100s = 113100}}} (in cents)
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Multiply both sides of (1) by {{{100}
and subtract (1) from (2)
(2) {{{350a + 100s = 113100}}}
(1) {{{-100a - 100s = -45600}}}
{{{250a = 67500}}}
{{{a = 270}}}
and, from (1),
(1) {{{a + s = 456}}}
{{{s = 456 - 270}}}
{{{s = 186}}}
270 adult and 186 student tickets were sold
check answer:
(2) {{{350a + 100s = 113100}}}
(2) {{{350*270 + 100*186 = 113100}}}
{{{94500 + 18600 = 113100}}}
{{{113100 = 113100}}}
OK