Adult tickets for the school musical sold for $3.50 and student tickets sold for $2.50. on a given night, 321 tickets were sold for $937.50. how many of each kind of ticket were sold?

1) make simultaneous equations with the given data

3.5a (for adults) + 2.5s (students) = 937.5

a + s = 321 (total number of tickets)

2) rearrange the equation

a = 321 - s

3) substitute this equation into the first one and solve the equation

= 3.5 (321-s) + 2.5s = 937.5

= 1123.5 - 3.5s + 2.5s = 937.5

= - s = - 186

s = 186

-> 186 student tickets

4) with this info, you can easily find the number of adult tickets sold

3.5a + 2.5s = 937.5

3.5a + 2.5 (186) = 937.5

3.5a = 937.5 - 465

3.5a = 472.5

a = 135

-> 135 adult tickets