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.