Question

If 10 percent of your day is spent studying, how many hours do you devote to studying? Use 24 hours as the length of a day.

Answer 1

2 hours and 24 minutes (2.4 hours)

Explanation:

Our output value is 24. We represent the unknown value with x. From step 1 above, 24=100, and x=10. This results in a pair of simple equations:

24=100%

x=10%

By dividing equation 1 by equation 2 and noting that the right hand sides of both equations have the same unit (%); we have:

`(24)/(x)= (100)/(10)`

Again, the reciprocal of both sides gives

`(-x)/(24) = (10)/(100)`

x=2.4

Therefore, x equals 2.4.

The 2 in 2.4 represents 2 hours. The 0.4 in 2.4 represents minutes, as there isn't enough to fill a full hour.

4/10ths of 60 is 24.

Therefore, you would be devoting 2 hours and 24 minutes to studying.