Recipe A calls for 2 tablespoons of chocolate powder for every 3/4​ of a cup of milk. Recipe B calls for 3 tablespoons of chocolate powder for every 5/6​ of a cup of milk. Which chocolate milk recipe tastes more chocolatey? make sure your answer is a fraction

Question

Start by finding the unit rate for Recipe B. You need to find the number of tablespoons of chocolate powder per 1 cup of milk. What can you divide 5/6​ cup of milk by to find 1 cup of milk?

Answer 1

To find the unit rate for Recipe B, we divide 5/6 cup of milk by 5/6 cup of milk by 5/6 cup of milk by 5/6 cup of milk

5/6 ÷ 5/6 = 1

Therefore, Recipe B calls for 3 tablespoons of chocolate powder per 1 cup of milk.

Next, we need to compare the unit rate of Recipe A to Recipe B.

Recipe A: 2 tablespoons of chocolate powder for every 3/4 of a cup of milk
Recipe B: 3 tablespoons of chocolate powder for every 5/6 of a cup of milk

To compare, we need to make the denominators the same.

3/4 = 9/12
5/6 = 10/12

Now we can compare the unit rates of both recipes:

Recipe A: 2 tablespoons / 9/12 cup = 8/9 tablespoons per cup
Recipe B: 3 tablespoons / 10/12 cup = 9/10 tablespoons per cup

Since Recipe B has a greater amount of chocolate powder per cup of milk (9/10 tablespoons per cup compared to 8/9 tablespoons per cup), Recipe B tastes more chocolatey.