We need to find the weight of a person at a certain period of time.
The weight of the person at the required time is A. [tex]182\dfrac{1}{3}\ \text{lb}[/tex]
Initial weight of person = [tex]170\dfrac{2}{3}[/tex] pounds.
Weight gained = [tex]25\dfrac{5}{12}[/tex] pounds
Weight lost = [tex]10\dfrac{1}{4}+3\dfrac{1}{2}[/tex] pounds
So, weight of the person is
[tex]170\dfrac{2}{3}+25\dfrac{5}{12}-(10\dfrac{1}{4}+3\dfrac{1}{2})\\ =170+\dfrac{2}{3}+25+\dfrac{5}{12}-(10+\dfrac{1}{4}+3+\dfrac{1}{2})\\ =195+\dfrac{8+5}{12}-13-\dfrac{1+2}{4}\\ =182+\dfrac{13}{12}-\dfrac{3}{4}\\ =182+\dfrac{13-3}{12}\\ =182+\dfrac{10}{12}\\ =182+\dfrac{1}{3}=182\dfrac{1}{3}[/tex]
The weight of the person at the required time is A. [tex]182\dfrac{1}{3}\ \text{lb}[/tex]
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