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16 votes
16 votes
Aaron has a goal to lose 5 lb this month he loses 2 and 1/2 pounds is the first week he loses 1/8 of a pound the second week how many more pounds does Aaron need to lose this month to reach his goal

User FiddlingAway
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1 Answer

24 votes
24 votes

Total amount to lose = 5 pounds

Already Aaron lost:


2(1)/(2)+(1)/(8)

pound.

Lets add up the fractions:


\begin{gathered} 2(1)/(2)+(1)/(8) \\ =(5)/(2)+(1)/(8) \\ =(5(4)+1)/(8) \\ =(21)/(8) \end{gathered}

Aaron already lost (21/8) pounds. If we subtract it from "5", we can find the amount the needs to lose this month to reach his goal. The Answer is:


\begin{gathered} 5-(21)/(8) \\ =(5(8)-21)/(8) \\ =(40-21)/(8) \\ =(19)/(8) \end{gathered}

Converting to mixed number [amount he needs to lose]:


(19)/(8)=2(3)/(8)\text{Pounds}

User Rajesh Prajapati
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3.1k points