Question

Ann mixes 1/2 cup of cranberry juice with 1/3 cup of orange juice. How much cranberry juice should Ann mix with 1 cup of orange juice is 1/2:1/3 find the unit rate

Answer 1

Since we have that:

$\frac{1}{2}\colon\frac{1}{3}$

to find the ratio for 1 cup, we do the division like this:

$\frac{1}{2}_{}\colon\frac{1}{3}\Rightarrow\frac{\frac{1}{2}}{\frac{1}{3}}=\frac{3}{2}$

This means that the new ratio is 3:2, therefore, for 3 cups of cranberry juice, Ann will need 2 cups of orange juice. Then, we have that for one cup of orange juice, there have to be 1.5 cups of cranberry juice.