Answered

On a particular day, 98 men and women How many women play tennis?
visit a leisure centre.
Some are going to the gym.
Some are going to play tennis.
Some are going to play badminton.
The rest are going swimming.
51 people are male.
21 out of the 40 going to the gym are
male.
19 males and 7 females are going
swimming.
7 out of the 20 people playing
badminton are male.
Twice as many females play tennis than
males



Answer :

Answer:

Total number of people visiting the leisure center: 98

Number of males: 51

Number of people going to the gym: 40

Number of males going to the gym: 21

Number of males going swimming: 19

Number of females going swimming: 7

Number of people playing badminton: 20

Number of males playing badminton: 7

We need to find the number of females playing tennis. We know that twice as many females play tennis as males. So, let's denote the number of males playing tennis as

M. Then, the number of females playing tennis would be

2

2M.

We can set up an equation based on the information provided:

Total number of males:

51

=

+

21

+

19

+

7

+

7

51=M+21+19+7+7

=

51

(

21

+

19

+

7

+

7

)

=

51

54

=

3

M=51−(21+19+7+7)=51−54=−3

The result is negative, which indicates that there might be a mistake in the data or the way the problem is formulated. Let's reassess the data and the problem statement to correct any inconsistencies.

Step-by-step explanation: