A recipe for 2 1/2 dozen cookies calls for 1 7/8 cups of flour. How many cups of flour are needed to make 1 1/3 dozen cookies?
Let x be unknown cup of flour.this is a direct proportion: 2.5 dozens/(15/8)=K,K=30/(15/8)=16,1/3 dozens/X=16,Find x
To determine how many cups of flour are needed to make 1 1/3 dozen cookies, we can use a proportion to solve the problem.
1 1/3 dozen is equivalent to (1 + 1/3) dozen, which is the same as 4/3 dozen.
Now, let's set up a proportion using the number of cookies and the amount of flour required:
(Number of Cookies) / (Amount of Flour) = (Number of Cookies) / (Amount of Flour)
For the given recipe, we know that 2 1/2 dozen cookies require 1 7/8 cups of flour. So, we can set up the following equation:
(2 1/2) / (1 7/8) = (4/3) / (x)
To solve for x, we can cross-multiply and solve for x.
(2 1/2) * (x) = (1 7/8) * (4/3)
First, convert the mixed fractions to improper fractions:
(5/2) * (x) = (15/8) * (4/3)
Then, multiply the numerators and denominators:
5x/2 = 60/24
Now, cross-multiply:
5x * 24 = 60 * 2
120x = 120
Finally, divide both sides of the equation by 120:
x = 1
Therefore, 1 cup of flour is needed to make 1 1/3 dozen cookies.