SOLUTION: A spends 1/4th of his leisure on reading books, 2/3rd of the remaining on watching TV. If he spends 2 hrs on watching TV what is the total time of his leisure?

Algebra ->  Decimal-numbers -> SOLUTION: A spends 1/4th of his leisure on reading books, 2/3rd of the remaining on watching TV. If he spends 2 hrs on watching TV what is the total time of his leisure?      Log On


   



Question 606617: A spends 1/4th of his leisure on reading books, 2/3rd of the remaining on watching TV. If he spends 2 hrs on watching TV what is the total time of his leisure?
Found 2 solutions by CubeyThePenguin, ikleyn:
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
1/4 = 3/12 of time reading books
(2/3) * (3/4) = 1/2 of time on TV

x = total leisure time

x/2 = 2

x = 4 hours

**(corrected)

Answer by ikleyn(52817) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let x be the total time of his leisure.


After spending x/4 for reading books, %283%2F4%29x remaining.


Then, based on the problem description, you have this equation


    %282%2F3%29%2A%283%2F4%29x = 2.


Simplify


    %281%2F2%29x = 2,  x = 2*2 = 4.


ANSWER.  x = 4:  the total time of his leisure is  4 (four, FOUR) hours.


//////////////


@CubeyThePinguin, you again use some hysterics style of solving problems, even without reading of their descriptions.

Try to switch to some more peaceful/slower adequate style . . .