Answered

Fin each unit rate. Determine which is lower.

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

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

Verified Answer :

texaschic101

(1/4) / (2/3) = 
1/4 3/2 =
3/8 (or 0.375) cups per serving

(1/3) / (3/4) = 
1/3 4/3 =
4/9 (or 0.444) cups per serving

the lower one is : 1/4 cup for 2/3 serving

boffeemadrid

The rate of each ingredient is required.

Rate of ingredient C is lower.

The number of cups is \(\dfrac{1}{4}\)

The number of servings is \(\dfrac{2}{3}\)

The rate for ingredient C is

\(\dfrac{\dfrac{1}{4}}{\dfrac{2}{3}}\\ =\dfrac{1}{4}\times \dfrac{3}{2}\\ =\dfrac{3}{8}=0.375\ \text{cups per serving}\)

The number of cups is \(\dfrac{1}{3}\)

The number of servings is \(\dfrac{3}{4}\)

The rate for ingredient D is

\(\dfrac{\dfrac{1}{3}}{\dfrac{3}{4}}\\ =\dfrac{1}{3}\times \dfrac{4}{3}\\ =\dfrac{4}{9}=0.44\ \text{cups per serving}\)

Rate of ingredient C is lower.

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