Question

A team played 40 games in a season and won 24 of them. What percent of winning?

Answer 1

Hint: It is given that the team won $24$ games out of $40$ games, so first express the given relation in a fraction and then multiply the fraction by $100$ to convert it into the percentage.

Complete step-by-step answer:
It is given that the team played 40 games in a season and won 24 out of them.
Therefore, the fraction of the above condition is the ratio of the number of games won to the total number of games played in the season. That is,
 ${\text{Fraction}} = \dfrac{{24}}{{40}}$
So, the give relation in terms of the fraction is given as $\dfrac{{24}}{{40}}$. This fraction defines that the team played $40$ games ina season and won $24$ out of them.
Now, multiply the fraction $\dfrac{{24}}{{40}}$ with $100$ to convert it into the percentage.
Percent of winning the season is given as:
$ = {\text{Fraction}} \times 100$
Substitute $\dfrac{{24}}{{40}}$ in the place of fraction and then solve the equation to find the percentage of winning 24 games out of 40 games.
$ = \dfrac{{24}}{4} \times 10$
Simplify the multiplication:
$ = 6 \times 10$
$ = 60\% $
Thus, the percent of winning $24$ games by the team out of $40$ games is $60\% $. It means that $60\% $ of the games are won by the team throughout the season when the team plays $40$ games.
Therefore, option C is correct.

Note: Be careful when expressing the condition in the form of a fraction, the total number of events is taken in the denominator and the happening event is taken in the numerator. Here, happening events means that the number of games won by the team.