Question

A gardening club has 60 members, of which 9 are males and the rest are females. What is
the ratio of females to males? If 3 more males join the club, what will the new ratio of females to males be?

Answer 1

To find the current number of female members in the gardening club, we start with the total number of members and subtract the number of males:

Total members = 60
Males = 9

Females = Total members - Males = 60 - 9 = 51

Now, we can find the ratio of females to males:

\[
\text{Ratio of females to males} = \frac{\text{Females}}{\text{Males}} = \frac{51}{9}
\]

This ratio can be simplified. Both numbers can be divided by 3:

\[
\frac{51 \div 3}{9 \div 3} = \frac{17}{3}
\]

So the current ratio of females to males is \(17:3\).

Next, if 3 more males join the club, the number of males will increase:

New number of males = 9 + 3 = 12

The number of females remains the same at 51. Now, we can find the new ratio of females to males:

\[
\text{New ratio of females to males} = \frac{51}{12}
\]

This ratio can also be simplified. Both numbers can be divided by 3:

\[
\frac{51 \div 3}{12 \div 3} = \frac{17}{4}
\]

Thus, the new ratio of females to males after 3 more males join the club is \(17:4\).