Question

30 cricket players and 20 Kho-Kho players are training on a field. What is the ratio of cricket players to the total number of Kho-Kho players?

Answer 1

Hint: We will first write the number of cricket players in numerator and number of Kho-Kho players in the denominator. Then, we will divide both the numbers by their highest common factor. Then, express the fraction of the form $\dfrac{a}{b}$ as $a:b$ to write the final ratio.

Complete step-by-step answer:
We are given that there are 30 cricket players and 20 Kho-Kho players.
We have to write the ratio of the number of players in cricket and in Kho-Kho.
We will first write the numbers of players in both the sports as a fraction.
$\dfrac{{{\text{Cricket players}}}}{{{\text{kho - kho players}}}} = \dfrac{{30}}{{20}}$
But, in a ratio, the numbers are in simplest form.
That is, there should not be any common factor between the numbers.
We will now find the HCF of the two numbers, 30 and 20
$30 = 2 \times 3 \times 5$
And $20 = 2 \times 2 \times 5$
Here, we can see $5 \times 2 = 10$ is the highest common factor of 20 and 30.
Therefore, we will divide 30 and 20 by 10 to write the reduced form.
Therefore,
$\dfrac{{{\text{Cricket players}}}}{{{\text{kho - kho players}}}} = \dfrac{{\dfrac{{30}}{{10}}}}{{\dfrac{{20}}{{10}}}} = \dfrac{3}{2}$
Finally, we could write the fraction $\dfrac{a}{b}$ as $a:b$.
Therefore, the ratio of cricket players to the total number of Kho-Kho players is 3:2.

Note: Ratio is a method to compare two or more articles. Many students generally make mistakes by changing the order of ratio. If we are given to find the ratio of cricket players to the total number of Kho-Kho players, then the number corresponding to cricket players should come first or in numerator and the number of Kho-Kho players should come next or in denominator.