A stone is a British unit of weight equivalent to 14 pounds. After losing 1 1/2 stone. Jim is now 85% of his original weight. What is Jims c

Question

A stone is a British unit of weight equivalent to 14 pounds. After losing 1 1/2 stone. Jim is now 85% of his original weight. What is Jims current weight?

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Samantha 2 weeks 2021-10-11T00:27:29+00:00 1 Answer 0

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    2021-10-11T00:29:24+00:00

    Answer:

    Jim’s current weight = 119 pounds

    Step-by-step explanation:

    1 Stone = 14 pounds

    1\frac{1}{2} stone = 1.5 stone

    1.5 stone = 1.5 (14 pounds) = 21 pounds

    Jim lost 21 pounds

    Let X be Jim’s Original Weight

    Y be his present weight

    As per given statement in the Question:

    After losing 1.5 stones (21 pounds of weight) Jim now weighs Y

    Present weight = original weight – 21

    Y = X -21                                                        Equation 1

    Also Current Weight = 85 % (Original weight)

    Y = 85 % (X) =\frac{85X}{100}

    Y=\frac{85X}{100}

    put in Equation 1

    \frac{85X}{100} = X-21

    85X = (X-21) 100

    85 X = 100 X -2100

    or

    2100 = 100 X – 85X

    2100 = 15X

    or

    15 X = 2100

    X=\frac{2100}{15}

    X= 140 pounds ( Original Weight)

    Current Weight = Y = Original weight – 21 (From Equation 1)

    Y = X -21

    Y = 140 -21

    Y = 119 pounds (Current Weight)

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