Question

Two types of tickets are sold to a play. Floor

seats cost $45 each and balcony seats cost $25
each. A play sells 107 tickets and makes a total
of $3,375. How many of each type of ticket

Answer 1

35 tickets at $35, 72 tickets at $25

Explanation:

x+y=107 -> 5x+5y=535

45x+25y=3375

simplify, divide by 5 to get

9x+5y=675

Substract

9x+5y=675

- 5x+5y=535

4x=140 -> x=35

y=107-35 = 72