Question

Sarah has a recipe for a cleaning solution that is formed by mixing 8 cups of water with 3 cups of hydrogen peroxide. Max has a recipe that combines 12 cups of water with 4.5 cups of hydrogen peroxide. Do the recipes provide cleaning solutions with the same strength? Explain your reasoning.

Answer 1

Both Sarah's and Max's recipes provide cleaning solutions with the same strength.

Step-by-step explanation:

Both Sarah's and Max's recipes provide cleaning solutions with the same strength.

The strength of a cleaning solution can be determined by the ratio of hydrogen peroxide to water. In Sarah's recipe, the ratio of hydrogen peroxide to water is 3:8, and in Max's recipe, the ratio is also 3:8. Since the ratio is the same in both recipes, the cleaning solutions will have the same strength.

It's important to note that the strength of hydrogen peroxide is often expressed as a percentage. For example, a 3% hydrogen peroxide solution means that there is 3 grams of hydrogen peroxide for every 100 milliliters of solution. The recipes provided do not specify the percentage strength of the hydrogen peroxide used, so we cannot determine the exact concentration of the cleaning solutions.