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
