Question

Yolanda spends $8\dfrac{2}{3}$ hours per month playing soccer. Approximately how many hours does she play soccer in a year?

Answer 1

Hint: This problem deals with finding the number of hours spent by Yolanda to play soccer in a year. This problem is done by solving simplification of basic algebraic expressions. To solve this problem first of all we should express the given information mathematically, and then the process of simplification is done to solve for the desired result.

Complete Step by Step Solution:
Given that a girl named Yolanda plays the game of soccer.
She spends a total of $8\dfrac{2}{3}$ hours a month to play the game of soccer as already given.
We are asked to find the number of hours she plays the game of soccer for one year.
The number of months in one year = 12
The number of hours Yolanda plays per month = $8\dfrac{2}{3}$
Consider $8\dfrac{2}{3}$ hours, it is a mixed fraction, hence solving the mixed fraction into an improper fraction as shown below:
$ \Rightarrow 8\dfrac{2}{3} = \dfrac{{8(3) + 2}}{3}$
$ \Rightarrow 8\dfrac{2}{3} = \dfrac{{26}}{3}$
So Yolanda plays for $\dfrac{{26}}{3}$ hours for one month.
The number of hours spent by her for 12 months is given by:
$ \Rightarrow \dfrac{{26}}{3} \times 12 = 104$

The number of hours spent by Yolanda in playing soccer is 104 hours in one year.

Note: Please note that while solving the above problem we should in mind that we have to first convert the time duration of years into months and then proceed to solve the rest of the problem, some important conversions are given below:
1 year = 12 months
1 month = 30 days
1 day = 24 hours