Question

tickets at a particular movie theatre have different rates for adults and children. on a friday the theatre sold 4 adult tickets and 7 child tickets for $83. the next day, the theatre sold 5 adult tickets and 6 children tickets for $90. what are the prices for the adult ticket and the price for the child tickets. Use substitution method

Answer 1

Using elimination method. Using substitution will cause some fraction problems.

c- child tickets
a- adult tickets

4a + 7c = $83
5a + 6c = $90

multiply by -5

-20a - 35c = -$415
20a + 24c = $360

-11c= -$55
c = $5 child tickets

4a + 7(5)= $83

4a + 35 = $83

4a = $48

a= $12 adult tickets