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25 March, 02:26

A belt and a wallet cost $42, while seven belts and four wallets cost $213.

A) how much do four belts and four wallets cost?

B) how much do three belts cost?

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Answers (2)
  1. 25 March, 02:33
    0
    B + w = 42

    7b+4w=213

    -7b-7w=-294

    7b+4w=213

    -3w=-81

    w=27

    b + 27 = 42

    b = 15

    four belts total $60

    four wallets total $108

    three belts total $45
  2. 25 March, 02:54
    0
    Let, the cost of a belt = x

    cost of a wallet = y

    Then, system of equations would be:

    x + y = 42

    7x + 4y = 213

    Multiply 1st equation by 4,

    4x + 4y = 168

    Substitute it from 2nd equation,

    3x = 45

    x = 15

    Now, substitute it in 1st equation,

    15 + y = 42

    y = 42 - 15 = 27

    In short, Belt costs $15 and wallet costs $27

    A)

    15x4=60

    27x4=108

    60+108=

    four belts and four wallets cost 168

    B) 3x15=

    three belts cost 45
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