How many tickets of each type were sold?

Question

Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $30

 and same-day tickets cost $25

. For one performance, there were 55

 tickets sold in all, and the total amount paid for them was $1525

. How many tickets of each type were sold?



Answer 1

Could also use substitution method since A = 55 - S

30A + 25S = 1525

30(55 - S) + 25S = 1525

Use distributive rule to eliminate the parentheses, combine like terms, solve for S and then for A and check your results.

Answer 2

A=# advance tickets, S=# same day

A+S=55

30A+25S=1525

Multiply the first equation by 6 and divide the second equation by 5.

Subtract to eliminate the A and solve for S.