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27 March, 20:15

2 family go to the thetre the smiths family of 3 adults and 4 children pay £67 the jones family of 5 adults and 6 children pay £106 work out the cost of an adult and child ticket

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  1. 27 March, 20:30
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    The answer to your question is:

    adult = £ 11

    children = £ 8.5

    Step-by-step explanation:

    Data

    Smiths 3 adults 4 children £67

    Jones 5 adults 6 children £ 106

    adult = a

    child = c

    Process

    3a + 4c = 67 (1)

    5a + 6c = 106 (2)

    Solve the equations using the elimination method

    Multiply (1) by - 5 - 15a - 20c = - 335

    Multiply (2) by 3 15a + 18c = 318

    0 - 2c = - 17

    c = 17/2

    c = £ 8.5

    Solve (1) for a 3a + 4 (17/2) = 67

    3a + 34 = 67

    3a = 67 - 34

    3a = 33

    a = 33/3

    a = £11
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