# Cricket players and $20$ kho-kho players are training in a field. What is the ratio of cricket players to the total number of players?

Answer

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Hint: The given problem is related to the concept of ratio. The ratio is defined as a relation between two values which describes that one value is how many times the other value, i.e. how much of one value is the other value.

Complete step-by-step answer:

Before proceeding with the solution, we must understand the concept of ratio. A ratio is defined as the relation between two values which describes that one value is how many times the other value, i.e. how much of one value is the other value. For example: If there are $3$ boys and $4$ girls in a group, the ratio of the number of boys to the number of girls is given as $3:4$ . This ratio is called the part-to-part ratio as it describes the ratio of one part to another. The ratio of boys to the total number of members in the group is given as $3:\left( 3+4 \right)=3:7$ . This ratio is called part-to-whole as it gives the ratio of one part to the whole.

Now, coming to the question, we are given that there are $30$ cricket players and $20$ kho-kho players are training in a field and we are asked to find the ratio of cricket players to the total number of players. It is a case of a part-to-whole ratio.

We are given that there are $30$ cricket players and $20$ kho-kho players are training in a field that there are $30$ cricket players and $20$ kho-kho players are training in a field. So, the total number of players in the field is equal to $30+20=50$ . So, the ratio of cricket players to the total number of players is given as $30:50$ . But we can see that the ratio is not in its simplest form. So, we will convert it into its simplest form by expressing it as a fraction and canceling out the common factors. So, $30:50=\dfrac{30}{50}=\dfrac{3}{5}=3:5$ . So, the ratio of cricket players to the total number of players is $3:5$ .

Note: A ratio is a good way of comparison of the values of two or more entities. So, the concept of ratio should be properly understood by a student as it is helpful in many scenarios.

Complete step-by-step answer:

Before proceeding with the solution, we must understand the concept of ratio. A ratio is defined as the relation between two values which describes that one value is how many times the other value, i.e. how much of one value is the other value. For example: If there are $3$ boys and $4$ girls in a group, the ratio of the number of boys to the number of girls is given as $3:4$ . This ratio is called the part-to-part ratio as it describes the ratio of one part to another. The ratio of boys to the total number of members in the group is given as $3:\left( 3+4 \right)=3:7$ . This ratio is called part-to-whole as it gives the ratio of one part to the whole.

Now, coming to the question, we are given that there are $30$ cricket players and $20$ kho-kho players are training in a field and we are asked to find the ratio of cricket players to the total number of players. It is a case of a part-to-whole ratio.

We are given that there are $30$ cricket players and $20$ kho-kho players are training in a field that there are $30$ cricket players and $20$ kho-kho players are training in a field. So, the total number of players in the field is equal to $30+20=50$ . So, the ratio of cricket players to the total number of players is given as $30:50$ . But we can see that the ratio is not in its simplest form. So, we will convert it into its simplest form by expressing it as a fraction and canceling out the common factors. So, $30:50=\dfrac{30}{50}=\dfrac{3}{5}=3:5$ . So, the ratio of cricket players to the total number of players is $3:5$ .

Note: A ratio is a good way of comparison of the values of two or more entities. So, the concept of ratio should be properly understood by a student as it is helpful in many scenarios.

Last updated date: 04th Oct 2023

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