If `3/5` of x is equal to `4/9` of y. what is the ratio of x and y?

Options

A. `11:15`
B. `15:23`
C. `20:27`
D. `14:25`

Answer

To find the ratio of \( x \) and \( y \) given that \( \frac{3}{5} \) of \( x \) is equal to \( \frac{4}{9} \) of \( y \), we can follow these steps:

### Step-by-Step Solution:

1. **Set up the equation**:
We start with the equation given in the problem:
\[ \frac{3}{5}x = \frac{4}{9}y \]

2. **Cross-multiply**:
To eliminate the fractions, we can cross-multiply:
\[ 3 \cdot 9 \cdot x = 4 \cdot 5 \cdot y \]
This simplifies to:
\[ 27x = 20y \]

3. **Rearrange the equation**:
We want to express the ratio \( \frac{x}{y} \). To do this, we can rearrange the equation:
\[ \frac{x}{y} = \frac{20}{27} \]

4. **Express the ratio**:
The ratio of \( x \) to \( y \) can be written as:
\[ x : y = 20 : 27 \]

### Conclusion:
The ratio of \( x \) to \( y \) is \( 20 : 27 \).