Question

Whether the ratio of cups of flour to teaspoons of vanilla is 10 to 5, 20 to 10 or 30 to 15, the recipes would make cookies tht taste the same. we call these equivalent ratios.

Find another ratio of cups of flour to teaspoons of vanilla that is equivalent to these ratios.

Answer 1

An equivalent ratio for cups of flour to teaspoons of vanilla, which would yield the same tasting cookies as the given ratios, could be 8 to 4 or 12 to 6 as long as the ratio remains proportional to the simplified ratio of 2 to 1.

Step-by-step explanation:

We are looking for an equivalent ratio of cups of flour to teaspoons of vanilla that would produce the same tasting cookies as the given ratios of 10 to 5, 20 to 10, and 30 to 15. All of these ratios can be simplified to the basic equivalent ratio of 2 to 1. To find another equivalent ratio, we simply need to multiply both numbers in this simplest ratio by the same factor.

For instance, we could multiply both the 2 (cups of flour) and the 1 (teaspoon of vanilla) by 4. This would give us another equivalent ratio: 8 cups of flour to 4 teaspoons of vanilla.

Another example would be multiplying the basic ratio by 6, which would yield 12 cups of flour to 6 teaspoons of vanilla. As long as we multiply both parts of the ratio by the same number, the overall proportion of ingredients remains constant, ensuring the cookies will taste the same.