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| Math Central | Quandaries & Queries |
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Question from Eileen, a student: At first, Gina's weight was 4/7 of Helen's weight. Then, Gina gained 3kg while Helen lost 6kg. They are the same weight now. What is Helen's weight now? |
Hi Eileen,
Suppose, at the first, that G is Gina's weight in pounds and H is Helen's weight in pounds. Gina's weight was 4/7 of Helen's weight so
G = 4/7 × H.
What is Gina's weight now? What is Helen's weight now? These two quantities are equal so this gives you a second equation in G and H. Substitute G = 4/7 × H into this second equation and solve for H.
Penny
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