Rose weighs 140 pounds and gains 10%. What percent of her new weight must she lose to get back to 14

Discussion in 'Calculator Requests' started by math_celebrity, Apr 3, 2019.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    Rose weighs 140 pounds and gains 10%. What percent of her new weight must she lose to get back to 140 pounds?

    Find her new weight after the 10% gain:
    New Weight = Starting Weight * (1 + 10%)

    Since 10% is 0.1, we have:
    New Weight = Starting Weight * (1 + 0.1)
    New Weight = Starting Weight * (1.1)

    Plug in our numbers:
    New Weight = 140 * (1.1)
    New Weight = 154

    To get back to 140, Rose must lose 154 - 140 = 14 pounds.

    As a percentage of her new weight, we type 14/154 into our search engine, and get:
    9.09%

    We read this as, Rose must lose 9.09% of her current body weight of 154 pounds to get back to her starting weight of 140 pounds.
     

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