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

Respuesta :

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

Answer:

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 [tex]\frac{3}{2}[/tex]

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 [tex]\frac{4.5}{3}[/tex]

Lets reduce the fraction. Divide top and bottom by 1.5

[tex]\frac{4.5}{3}[/tex] becomes [tex]\frac{3}{2}[/tex]

The ratios of two mixes are [tex]\frac{3}{2}[/tex]

So the ratios are equal