At the movie theatre, child admission is $5.80 and adult admission is 9.20. On Sunday, 154 tickets were sold for a total sales of 1185.60. How many child tickets were sold that day?

Answer 1

5.8c + 9.2a = 1185.6

c + a = 154

5.8c + 5.8a = 5.8(154) = 893.2

subtract last equation from 1st equation to eliminate one variable, leaving

(9.2-5.8)a = 1185.6 - 893.2

3.4a = 292.4

a = 292.4/3.4 = 86 adults

c=154-86 = 68 children

check the solution

5.8(68) + 9.2(86)

= 394.4+ 791.2

= 1185.6