Question 675515


{{{a}}} stands for advanced tickets
{{{d}}} stands for door tickets

{{{a + d = 109}}}....eq. 1 ...than {{{a = 109-d}}}

{{{7a + 11d = 887}}}.........eq. 2

Now substitute {{{109-d}}} in for {{{a}}} in the equation 2

{{{7(109-d) +11d = 887}}}...solve for {{{d}}}

{{{763 -7d + 11d = 887}}}

{{{4d = 887-763}}}

{{{4d = 124}}}

{{{highlight(d = 31)}}}

now substitute {{{31}}} in eq.1 for {{{d}}} and find {{{a}}}

{{{a + d = 109}}}

{{{a + 31 = 109}}}

{{{a = 109-31}}}

{{{highlight(a = 78)}}}

Now check:

{{{7a + 11d = 887}}}

{{{7(78) + 11(31) = 887}}}

{{{546 + 341 = 887}}}

{{{887 = 887}}} (correct)