Tickets for the homecoming dance cost $20 for a single ticket and $35 for a couple. Ticket sales totaled $2280, and 128 people attended. How many tickets of

Question

How many tickets of each kind sold 

Answer 1

20s + 35c = 2280

s + 2c =128 (because a couple is 2 people)

 

s = 128 - 2c

20(128 - 2c) + 35c = 2280

2560 - 40c + 35c = 2280

5c = 280

c = 56

 

s = 128 - 2(56)

s = 128 - 112

s = 16