Question

in a sports club 70% of the member play cricket, 20% play hockey and the remaining play football.if the number of persons playing hockey is 60 more then the number of persons playing football, then find the total number of persons in the club. ​

Answer 1

Answer:

600

Explanation:

Let the total number of members in the sports club be 'x'.

Number of members playing cricket = 70% = x * 70/100 = 0.7x

Number of members playing hockey = 20% = x * 20/100 = 0.2x

Remaining  members = x - (0.7x + 0.2x) = x - 0.9x = 0.1x

Number of members playing football = 0.1x

According to the question,

0.2x = 60 + 0.1x

0.2x - 0.1x = 60

0.1x = 60

x = 60 / 0.1

x = 600

So, there are 600 members in the sports club.

Answer 2

Answer:

The total number of persons in the club = 600

Explanation:

Given,

• The number of members playing cricket = 70%
• The number of members playing hockey = 20%

To find:

• The total number of persons in the club.

Solution:

Assume that the total number of persons in the club be x

The number of members playing cricket = $x * \frac{70}{100}$

                                                                  = 0.7 x

The number of members playing hockey = $x * \frac{20}{100}$

                                                                  = 0.2 x

Therefore the remaining members in the club = x - (0.7 x + 0.2 x)

                                                                            = x - 0.9 x

                                                                            = 0.1 x

The number of members playing football = 0.1 x

We know that,

0.2 x = 60 + 0.1 x

0.2 x - 0.1 x = 60

0.1 x = 60

$x = \frac{60}{0.1}$

x = 600

The number of members play cricket = 0.7 × 600 = 420

The number of members play hockey = 0.2 × 600 = 120

The number of member play football = 0.1 × 600 = 60

Therefore, the total number of persons in the club = 600

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