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

Question

Mathematics

Darryl Carson

2 April, 23:47

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

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Answers (1)

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Isabela Arroyo · 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