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

Answer:

2 hours and 24 minutes (2.4 hours)

Step-by-step 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:

$\frac{24}{x}= \frac{100}{10}$

Again, the reciprocal of both sides gives

$\frac{-x}{24} = \frac{10}{100}$

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.