In one version of trail mix, there are 3 cups of peanuts mixed with 2 cups of raisins in another version of the trail mix there are 4.5 cups of peanuts and 3 cups of raisins. are the ratios equivilent for the two mixes? explain

First version ratio peanuts to raisons =  3/2 = 1.5

For the second version it is  4.5 / 3 = 1.5 also

So the ratios are equivalent

The ratios are equivalent

Step-by-step explanation:

there are 3 cups of peanuts mixed with 2 cups of raisins

Lets write the ratio of peanuts and raisins

Ratio of peanuts over raisins is

in another version of the trail mix there are 4.5 cups of peanuts and 3 cups of raisins

Ratio of peanuts over raisins is

Lets reduce the fraction. Divide top and bottom by 1.5

becomes

The ratios of two mixes are

So the ratios are equal