SArah has a recipe for cookies that calls for 2 2/3 cup of flour to make 24 cookies if she wants to make twelve cookies how much flour should she use
half as many cookies, so 1/2 as much flour
1/2 * 2 2/3 = 1/2 * 8/3 = ___
If a recipe calls
for 2 2⁄3 cups of flour
for 12 biscuits, how
much flour would
you need for 18
biscuits?
To find out how much flour Sarah should use to make twelve cookies, we can set up a proportion to compare the amounts of flour needed for 24 cookies and 12 cookies.
Let's solve it step by step:
Step 1: Determine the ratio of flour needed for 24 cookies to the amount needed for 12 cookies.
24 cookies require 2 2/3 cups of flour.
12 cookies would require half the amount of flour needed for 24 cookies.
Step 2: Divide the flour needed for 24 cookies by 2 to find the amount needed for 12 cookies.
2 2/3 ÷ 2 = 5/3 ÷ 2 = 5/6
Therefore, Sarah should use 5/6 cup of flour to make twelve cookies.
To find out how much flour Sarah should use to make twelve cookies instead of twenty-four, we can use the concept of proportions.
Step 1: Calculate the ratio of flour to cookies in the original recipe. In the original recipe, 2 2/3 cups of flour are used to make 24 cookies. We can represent this relationship as 2 2/3 cups of flour : 24 cookies.
Step 2: Set up a proportion to solve for the unknown quantity. Let's assume x represents the amount of flour required to make twelve cookies. We can set up the proportion as follows:
(2 2/3 cups of flour) : (24 cookies) = x cups of flour : 12 cookies
Step 3: Simplify the proportion. Convert 2 2/3 to an improper fraction, which becomes 8/3. Now, the proportion looks like this:
(8/3 cups of flour) : (24 cookies) = x cups of flour : 12 cookies
Step 4: Cross-multiply and solve for x. Multiply the numbers diagonally across the "=" sign:
8/3 * 12 = 24x
96/3 = 24x
32 = 24x
Step 5: Divide both sides of the equation by 24 to isolate x:
x = 32/24
Step 6: Simplify the fraction:
x = 4/3
Therefore, Sarah should use 4/3 cups of flour to make twelve cookies.