Child admission and movie theater

Question

At the movie theater child admission is 5.90 and adult admission is 9.20 on Thursday 144 tickets were sold for a total sales of 1037.70 how many adult tickets were sold that day

Answer 1

c = 5.90

a = 9.20

c + a = 144

5.90c + 9.20a = 1037.70

Since a = 144 - c, plug that in here:

5.90c + 9.20(144 - c) = 1037.70

5.90c + 1324.80 - 9.20c = 1037.70

-3.30c = -287.10

c = 87

Plug in the result for the first equation:

87 + a = 144

a = 57

Adult tickets sold were 57.