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30 August, 07:41

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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  1. 30 August, 08:04
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    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
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