Find each unit rate and determine which is lower.

Ingredient C: 1/4 cup for 2/3 serving

Ingredient D: 1/3 cup for 3/4 serving

*how much cups for one serving

Verified Answer :

C1/2 a cup for one serving, also the smaller one.
D) i dont know this one, but the answers for C are for sure correct

Answer: Ingredient C is lower.

Step-by-step explanation:

Since we have given that

Ingredient C: 1/4 cup for 2/3 serving

For \(\dfrac{2}{3}\) serving, number of cup = \(\dfrac{1}{4}\)

So, for 1 serving, the number of cups would be

\(\dfrac{1}{4}\div \dfrac{2}{3}\\\\=\dfrac{1}{4}\times \dfrac{3}{2}\\\\=\dfrac{3}{8}\)

Ingredient D: 1/3 cup for 3/4 serving

For \(\dfrac{3}{4}\) serving, number of cups = \(\dfrac{1}{3}\)

So, for 1 serving, the number of cups would be

\(\dfrac{1}{3}\div \dfrac{3}{4}\\\\=\dfrac{1}{3}\times \dfrac{4}{3}\\\\=\dfrac{4}{9}\)

So, on comparison, \(\dfrac{3}{8}<\dfrac{4}{9}\)

we get that Ingredient C is lower.