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2 April, 23:53

Felice went on a diet. At the beginning of the diet, she weighed 131 3⁄4 pounds. Two months later, she weighed 115 5⁄8 pounds. During the following month, she lost another 5 2⁄3 pounds. How much weight did Felice lose in all?

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  1. 3 April, 03:22
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    Felice lost 21 19/24 pounds in all.

    Step-by-step explanation:

    Weight at the begining: W0=131 3/4 pounds

    Weight two months later: W1=115 5/8 pounds

    Felice lost in the first two months: L1=W0-W1

    L1 = (131 3/4 pounds) - (115 5/8 pounds)

    L1 = (131-115) (3/4-5/8) pounds

    L1=16 (3/4) * (2/2) - 5/8 pounds

    L1=16 (3*2) / (4*2) - 5/8 pounds

    L1=16 6/8-5/8 pounds

    L1=16 (6-5) / 8 pounds

    L1=16 1/8 pounds

    During the following month she lost another 5 2/3 pounds:

    L2=5 2/3 pounds

    How much did Felice lose in all?

    LT=?

    LT=L1+L2

    Replacing the known values:

    LT=16 1/8 pounds + 5 2/3 pounds

    LT = (16+5) (1/8+2/3) pounds

    LT=21 (1/8) * (3/3) + (2/3) * (8/8) pounds

    LT = 21 (1*3) / (8*3) + (2*8) / (3*8) pounds

    LT=21 3/24+16/24 pounds

    LT=21 (3+16) / 24 pounds

    LT=21 19/24 pounds

    Felice lost 21 19/24 pounds in all.
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