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?
Students, write your response!
Pear Deck Interactive Slide
Do not remove this bar If 3 more males join the club, what will the new ratio of females to males be?

Answer 1

To find the ratio of females to males in the gardening club, we start by determining the number of females.

There are a total of 60 members, with 9 being males. Therefore, the number of females is:

\[
60 - 9 = 51
\]

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

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

To simplify this ratio, we can divide both numbers by 3:

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

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

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

\[
9 + 3 = 12
\]

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

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

To simplify this ratio, we can find the greatest common divisor (GCD) of 51 and 12, which is 3:

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

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