Monica needs to gain 10 pounds in order to be able to donate blood. She gained 5/6 pound the first week, 3/4 pound each of the next two weeks, 3/4 pound the fourth week, and lost 3/8 pound the fifth week. How many more pounds does she still have to gain?

Respuesta :

Answer: [tex]7\dfrac{7}{24}\text{ pounds}[/tex]

Step-by-step explanation:

Given, Monica gained weight in first week = [tex]\dfrac{5}{6}[/tex] pounds

She gained weight in second week = [tex]\dfrac34[/tex] pounds

She gained weight in third week = [tex]\dfrac34[/tex] pounds

She gained weight in fourth week = [tex]\dfrac34[/tex] pounds

She lost weight in fifth week = [tex]\dfrac38[/tex] pounds

Now, net weight she gained= [tex]\dfrac{5}{6}+\dfrac34+\dfrac34+\dfrac34-\dfrac{3}{8}[/tex]

[tex]=\dfrac{20+18+18+18-9}{24}\\\\=\dfrac{65}{24}\\\\=2\dfrac{17}{65}\text{ pounds}[/tex]

She need to gain [tex]10-\dfrac{65}{24}=\dfrac{240-65}{24}=7\dfrac{7}{24}\text{ pounds}[/tex]

Hence, she still have to gain [tex]7\dfrac{7}{24}\text{ pounds}[/tex]more.

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