The ratio of cups of water to cups of milk in a recipe is 1 to 5. Write three ratios equivalent to the ratio?

To find three ratios equivalent to the given ratio of 1 to 5, we need to multiply both the numerator and denominator of the ratio by the same non-zero number.

Let's say the number we multiply by is x.

First, we multiply the numerator (cups of water) by x:
1 * x = x

Next, we multiply the denominator (cups of milk) by x * 5 to maintain the ratio:
5 * x = 5x

Therefore, the three equivalent ratios are:
- Ratio 1: x cups of water to 5x cups of milk
- Ratio 2: 2x cups of water to 10x cups of milk
- Ratio 3: 3x cups of water to 15x cups of milk

Note that x can be any non-zero number that we choose.