Question 387944
Let {{{a}}} = number of adult tickets sold
Let {{{b}}} = number of child tickets sold
given:
(1) {{{a + b = 26}}}
(2) {{{14a + 3b = 199}}}
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Multiply both sides of (1) by {{{3}}}
and subtract (1) from (2)
(2) {{{14a + 3b = 199}}}
(1) {{{-3a - 3b = -78}}}
{{{11a = 121}}}
{{{a = 11}}}
and, since
(1) {{{a + b = 26}}}
{{{b = 26 - 11}}}
{{{b = 15}}}
11 adults and 15 children attended