Question

The ratio of male and female members of a club
is 5:6. The ratio will be reversed if 22 female members
leave the club. The number of male members is​

Answer 1

Answer:

the number of male member is 60

Answer 2

The number of male members is​ 60.

Explanation:

Given : The ratio of male and female members of a club  is 5:6.

Let the number of males be 5x and the number of females be 6x.

If  22 female members  leave the club , then the number of females left = 6x-22

Since , The ratio will be reversed if 22 female members  leave the club.

$\Rightarrow\ \dfrac{5x}{6x-22}=\dfrac{6}{5}$

Solve the above equation for x

$\Rightarrow\ 5(5x)=6(6x-22)$

$\Rightarrow\ 25x=36x-132$

$\Rightarrow\ 36x-25x=132$

$\Rightarrow\ 11x=132$

$\Rightarrow\ x=\dfrac{132}{11}=12$

Now , the number of males = 5x = 5(12)=60

Hence, the number of male members is​ 60.

# Learn more :

The ratio of male and females of a village is 5 ratio 3 if there are 800 males

in the village then females are​

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