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

Answer:Ratios are Equivalent

Step-by-step explanation:

Given

In first trails there are 3 cups of peanuts mixed with 2 cups of raisins.

Therefore ratio of peanut to raisins is $\frac{3}{2}=1.5$

For second trail 4.5 cup of peanuts mixed with 3 cups of raisins

Ratio of peanuts to raisins $=\frac{4.5}{3}=1.5$

thus in both the case it is equal