Math

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Jill made some cookies. Jill gave 1/4 of her cookies to Bob. Then Jill gave 1/2 of the remaining cookies to Joe. At this point, Jill had 18 cookies left. How many cookies did Jill have at first?

  • Math -

    T total cookies

    T-(Tx1/4) - ((T-(Tx1/4))x1/2) =18
    T-T/4 - 3T/4 x 1/2= 18
    3T/4-3T/8=18
    3T/8=18
    3T=144
    T=48

  • Math -

    or,
    after giving (1/4)T away, she has (3/4)T left
    after giving 1/2 of those away, she has (1/2)(3/4)T or (3/8)T left

    3T/8 = 18
    3T = 144
    T = 48

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