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6 December, 19:59

Anna bought a sweater at 40% off the original price. If she paid $12, what was the original price of the sweater?

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Answers (2)
  1. 6 December, 20:56
    0
    The original price of the sweater was $20.

    In this problem, 40% is the amount of discount. We can subtract 40% from 100% because our original price will always be 100%

    We can now change this problem to 12 is 60% of what number?

    12 is 60% of X

    Equation: Y = P% * X

    Solving our equation for X

    X = Y/P%

    X = 12/60%

    Converting percent to decimal:

    P = 60%/100 = 0.6

    X = 12/0.6

    X = 20

    Therefore, the original price of the sweater was $20
  2. 6 December, 23:37
    0
    The original cost was 20 dollars.

    Step-by-step explanation:

    $12 represents 60% of the original price.

    Set up a proportion

    60/100 = 12 100% = x

    Cross multiply Reduce 100/100 to 1

    60/100 * x = 12 * 100/100

    Multiply by 100

    60 / 100 * x = 12

    Divide by 60

    60x = 12*100

    60x = 1200

    60x/60 = 1200/60

    x = 20 dollars.
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