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24 March, 21:02

3 chews and 4 bubblies cost 72p. Five chew and 2 bubblies cost 64p. a) how much does a chew cost b) how much does a bubbly cost c) how much would 3 chews and 5 bubblies cost

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  1. 24 March, 21:08
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    Answer: a. 8p b. 12p c. 84p

    Step-by-step explanation:

    Let the price of chews be c

    Let the price of bubbly be b

    3 chews and 4 bubblies cost 72p can be written as: 3c + 4b = 72

    Five chew and 2 bubblies cost 64p can be written as: 5c + 2b = 64

    3c + 4b = 72 ... i

    5c + 2b = 64 ... ii

    Multiply equation I by 5

    Multiply equation ii by 3

    15c + 20b = 360

    15c + 6b = 192

    Subtract

    14b = 168

    b = 12

    Since 3c + 4b = 72

    3c + 4 (12) = 72

    3c + 48 = 72

    3c = 72 - 48

    3c = 24

    c = 24/3

    c = 8

    A chew cost 8p

    A bubbly cost 12p

    3 chews and 5 bubbly will cost:

    (3*8) + (5*12) = 24 + 60 = 84p
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