Given:
She is required to read a total = [tex]10\dfrac{5}{6}[/tex] hours a week.
Monday she read [tex]1\dfrac{1}{3}[/tex] hours.
Tuesday she read [tex]\dfrac{3}{4}[/tex] of an hour.
Thursday she read 3 hours.
To find:
The total hours does she still need to read in order to get full credit.
Solution:
Total time = [tex]10\dfrac{5}{6}[/tex] hours a week.
Total time she already read [tex]=1\dfrac{1}{3}+\dfrac{3}{4}+3[/tex] hours
[tex]=\dfrac{1\times 3+1}{3}+\dfrac{3}{4}+3[/tex] hours
[tex]=\dfrac{4}{3}+\dfrac{3}{4}+3[/tex] hours
[tex]=\dfrac{16+9+36}{12}[/tex] hours
[tex]=\dfrac{61}{12}[/tex] hours
Now,
Remaining time = Total time - Total time she already read
[tex]=10\dfrac{5}{6}-\dfrac{61}{12}[/tex]
[tex]=\dfrac{65}{6}-\dfrac{61}{12}[/tex]
[tex]=\dfrac{130-61}{12}[/tex]
[tex]=\dfrac{69}{12}[/tex]
[tex]=\dfrac{23}{4}[/tex]
[tex]=5\dfrac{3}{4}[/tex]
Therefore, the required time is [tex]5\dfrac{3}{4}[/tex] hours.
