A recipe for biscuits calls for ⅓ teaspoon baking powder per 1 ¼ cups of flour. What is the unit rate for baking powder and flour?
if you want baking powder : flour, then that would be
1/3 tsp : 5/4 c
since each cup is 16 tbsp or 48 tsp, that makes it
1/3 tsp : 60 tsp
1 : 180
I've never seen a recipe that uses so little baking powder.
To find the unit rate for baking powder and flour, we divide the amount of baking powder by the amount of flour.
Given:
Baking powder: ⅓ teaspoon
Flour: 1 ¼ cups
To calculate the unit rate, we divide the amount of baking powder by the amount of flour:
Unit rate = Baking powder / Flour
Unit rate = ⅓ teaspoon / 1 ¼ cups
We need to convert the 1 ¼ cups into the same unit as the teaspoon. Since there are 48 teaspoons in a cup, we can calculate:
Unit rate = ⅓ teaspoon / (1 ¼ cups * 48 teaspoons per cup)
Unit rate = ⅓ teaspoon / (5/4 cups * 48/1 teaspoons per cup)
Simplifying the expression:
Unit rate = ⅓ teaspoon / (5/4 / 1/48)
Unit rate = ⅓ teaspoon / (5/4 * 48/1)
Unit rate = ⅓ teaspoon / (5 * 48 / 4)
Unit rate = ⅓ teaspoon / (240 / 4)
Unit rate = ⅓ teaspoon / 60
Therefore, the unit rate for baking powder and flour is:
1/60 teaspoon per cup.
To find the unit rate, we need to determine the amount of baking powder for every 1 cup of flour.
The recipe calls for ⅓ teaspoon of baking powder for 1 ¼ cups of flour.
To make the ratio of baking powder to flour equivalent, we can multiply both the numerator and denominator by 4 to make the fraction easier to work with.
(4 * 1/3) teaspoon baking powder for (4 * 5/4) cups of flour.
This simplifies to:
4/3 teaspoon baking powder for 5 cups of flour.
So, the unit rate for baking powder and flour is:
(4/3) teaspoon baking powder per 5 cups of flour.