Question

In one version of a trail mix, there are 3 cups of peanuts mixed with 2 cups of raisins . In another version of trail mix, there are 4.5 cups of peanuts mixed with 3 cups of raisins. Are the ratios equivalent for the two mixes? Explain your reasoning

Answer 1

Ratio of peanuts to raisins in the first version of a trail mix = 3:2.

Ratio of peanuts to raisins in the second version of a trail mix = 4.5:3.

Divide the ratio by 1.5.

Ratio for second mix = 3:2.

Hence, the ratios are equivalent for the two mixtures.

Answer 2

The ratios are equivalent

The ratios are equivalent because when they are simplified, they both are 1.5 : 1

Ratio shows the relationship that exists between values. It shows the proportion of one value in another value.

Ratio of peanuts to raisins in the first version = 3 : 2

To simplify, divide both numbers by 2

1.5 : 1

Ratio of peanuts to raisins in the second version = 4.5 : 3

To simplify, divide both numbers by 3

1.5 : 1

The ratios of the first and second trail mix are equivalent.

To learn more about ratios, please check: https://brainly.com/question/19257327?referrer=searchResults