Children's tickets to a movie cost $7. Adult tickets cost $12. If 275 tickets were sold for a total of $2490.00, how many of each type were sold?

4 answers

Let adult A and children C
A + C = 275
12A + 7C = 2490

Substituting

A = 275 -C

12(275- C) + 7C = 2490

3300 -12C + 7C = 2490

3300 -5C = 2490

3300-3300 -5C = 2490 - 3300

-5C = -810

C = 162

A = 113
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c 162
a 113