The price of admission to a high school play was $3.20 for students and $5.20 for nonstudents. If 373 tickets were sold for a total of $1463.60, how many of each kind were purchased?

Question

The price of admission to a high school play was $3.20 for students and $5.20 for nonstudents. If 373 tickets were sold for a total of $1463.60, how many of each kind were purchased?

student tickets
nonstudent tickets

Answer 1

Let s = students and n be non-students

s + n = 373

3.20 s + 5.20 n = 1463.60

As s + n = 373, s = 373 - n

3.20(373 - n) + 5.20n = 1463.60

1193.60 - 3.20n + 5.20n = 1463.60

2.00n = 270

n = 270/2.00 = 135

s = 373 - 135 = 238

238 students

135 non-students