Question 297277
Let {{{a}}} = number of adult tickets sold
Let {{{s}}} = number of student tickets sold
given:
(1) {{{a + s = 700}}}
(2) {{{25a + 15s = 13330}}}
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Multiply both sides of (1) by {{{15}}} and
subtract from (2)
{{{25a + 15s = 13330}}}
{{{-15a - 15s = -10500}}}
{{{10a = 2830}}}
{{{a = 283}}}
and, since
{{{a + s = 700}}}
{{{s = 700 - 283}}}
{{{s = 417}}}
Sammy sold 283 adult and 417 student tickets
check:
{{{25*283 + 15*417 = 13330}}}
{{{7075 + 6255 = 13330}}}
{{{13330 = 13330}}}
OK