Given :
Number of hours studied daily , [tex]T=5\dfrac{2}{3}[/tex] .
Time given for science and mathematics is , [tex]t=2\dfrac{4}{2}[/tex] .
To Find :
How much time does she devote for other subjects .
Solution :
Let , time devote for other student is x .
So , Time left for other subject = Total time - Time taken by science and mathematics .
[tex]x=T-t\\\\x=5\dfrac{2}{3}-2\dfrac{4}{2}\\\\x=\dfrac{(5\times 3)+2}{3}- \dfrac{(2\times 2 )+4}{2}\\\\x=\dfrac{17}{3}-4\\\\x=\dfrac{17-(4\times 3)}{3}\\\\x=\dfrac{5}{3}=1\dfrac{2}{3}[/tex]
Therefore , time devote for other subject is [tex]1\dfrac{2}{3}[/tex] hours .
Hence , this is the required solution .
