At the movie theater child admission is $5.30 and adult admission is $9.40 . On Tuesday 157 tickets were sold for a total sales of $1078.10 . How many child tickets were sold that day?

Answer 1

5.3c +9.4a = 1078.10

c+a =157

5.3c +5.3a= 5.3(157)

subtract last equation from 1st equation

to eliminate 1 variable

4.1a= 1078.1- 832.1

a= 246/4.1 = 60 adults

c= 157-60= 97 children

5.3(97)+9.4(60)

= 1078.1