At the movie theatre, child admission is $6.20 and adult admission is $9.50. On Saturday, 153 tickets were sold for a total sales of $1169.70. How many adult tickets were sold that day?

Answer 1

6.2C + 9.5A = 1169.7

C+ A = 153

6.2C + 6.2A = 6.2(153) = 948.6

subtract 3rd equation from the 1st

3.3A = 1169.7 - 948.6 = 221.1

A = 221.1/3.3 = 67 Adult tickets

C = 153-67 = 86 Child tickets

check the anwer

6.2C + 9.5A = 1169.7

6.2(86) + 9.5(67) = 533.2 + 636.5 = 1169.7