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16 March, 20:57

Levi Jeans Company at the Silverthorne, Colorado Outlet store sells bootcut jeans for $40 and straight leg jeans for $60. If customer's bought 5 times more bootcut than straight leg jeans and last month's sales totaled $6,500, how many of each pair of jeans were sold?

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  1. 16 March, 21:04
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    Okay so we know the ratio of jeans sold is 5/1 so lets put that into an equation.

    6,500 = $40 (5*x) + $60 (1*x) so lets solve for x.

    so lets merge 40 (5x) + 60 (x) = 260 (x)

    6,500 = 260 (x)

    Divide both sides by 260. 6,500/260 = (260 (x)) / 260 = 25

    so lets plug it in. 6,500 = 40 (5*25) + 60 (1*25) = 5,000 + 1,500 = 6,500.

    So the answer is 25!
  2. 16 March, 21:16
    0
    Write down the equations you know!

    40x + 60y = 6500

    x = 5y

    x = bootcut jeans

    y = straight leg jeans

    Replace 'x' with it's equation, then solve for y.

    40 (5y) + 60y = 6500

    200y + 60y = 6500

    260y = 6500

    y = 25

    Now plug that back into one of the original equations:

    x = 5y

    x = 5 (25)

    x = 125

    125 = bootcut jeans

    25 = straight leg jeans
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