Question

A football team won 10 matches out of the total number of matches they played. If their win percentage was 40, then how many matches did they play in all?

Answer 1

Hint: The total number of won matches are \[10\]and the winning percentage was 40. So, we can say that the percentage of total number of matches can be given by the concept of percentage as \[winning\% = \dfrac{{won}}{{total}} \times 100\] . Hence as all the values are known so just substitute the value and required answer will be obtained.

Complete step-by-step answer:
As per the given information the total number of matches won are 10 and winning percentage is 40.
As per concept of percentage calculation given as \[winning\% = \dfrac{{won}}{{total}} \times 100\]
So, on substituting the values in the above equation, we get,
\[ \Rightarrow \] \[40 = \dfrac{{10}}{{total}} \times 100\]
Hence, the total number of match played can be calculated as,
 \[ \Rightarrow total = \dfrac{{10}}{{40}} \times 100\]
On simplification we get,
 \[ \Rightarrow total = \dfrac{1}{4} \times 100\]
On dividing 100 by 4 we get,
 \[ \Rightarrow total = 25\]
Hence, the total number of matches played is 25.

Note: In mathematics, a percentage is a number or ratio that represents a fraction of 100. It is often denoted by the symbol "%" or simply as "percent" or "pct."
Hence, calculate errorlessly in order to obtain an exact solution.
Understand the question like what has been asked. We can commit a mistake like understanding the given winning matches as total played matches so avoid that. Use the concept of proportions without any mistake and also use the concept of percentage calculation that \[winning\% = \dfrac{{won}}{{total}} \times 100\].