A pudding recipe requires 2/3 of a cup of milk for every 1-3/4 cups of sugar. What is the unit rate of sugar to milk in the pudding recipe?
(1 3/4)sugar/(2/3)milk = (7/4)/(2/3) =
7/4 * 3/2 = 21/8 = (2 5/8)/1
To find the unit rate of sugar to milk in the pudding recipe, we need to determine how much sugar is required for each unit of milk.
The recipe states that for every 2/3 of a cup of milk, we need 1-3/4 cups of sugar.
To simplify the calculation, let's convert the fractions to decimals.
2/3 = 0.6667 (rounded to four decimal places)
1-3/4 = 1.75
Now, we can find the unit rate by dividing the amount of sugar by the amount of milk.
Unit rate = Amount of sugar / Amount of milk
Unit rate = 1.75 cups / 0.6667 cups
Unit rate = 2.625
Therefore, the unit rate of sugar to milk in the pudding recipe is 2.625.