how many adult and how many student tickets were sold?

Question

tickets for the school play sold at $3 each for adults and $1.75 for students. If there were three times as many adult tickets sold as student tickets, and the total receipts were $322.50, how many adult and how many student tickets were sold?

Answer 1

assume a = number of adult tickets

assume s = number of student tickets

 

equation 1

a = 3s

 

equation 2

3a + 1.75s = 322.50

from equation 1

9s + 1.75s = 322.50

s = 30 student tickets

a = 3 x 30 = 90 adult tickets