Rebekah's recipe for 4 1/2 dozen cookies calls for 6 cups of sugar. how many cups of sugar are needed to make 8 dozen cookies?
would the correct answer be 11 2/3 cups
4 1/2 dozen = 54
8 dozen = 96
54/96 = 6/x
10 2/3 = x
Please recheck your math.
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To find out how many cups of sugar are needed to make 8 dozen cookies, we can set up a proportion using the given information.
We know that 4 1/2 dozen cookies require 6 cups of sugar. To convert this to a fraction, we can multiply the whole number (4) by the denominator of the fraction (2), then add the numerator (1). So, 4 1/2 is equivalent to (4 * 2) + 1/2 = 9/2 dozen cookies.
Using this information, we can set up the proportion:
(6 cups) / (9/2 dozen) = (x cups) / (8 dozen)
To solve for x (the number of cups of sugar needed for 8 dozen cookies), we can cross-multiply and solve the equation.
Cross-multiplying, we get:
6 cups * 8 dozen = (9/2 dozen) * x cups
48 dozen cups = (9/2 dozen) * x
To eliminate the units of dozen, we can multiply both sides of the equation by 2:
48 * 2 = 9 * x
96 = 9x
Dividing both sides of the equation by 9:
96 / 9 = x
x = 10.67
So, approximately 10.67 cups of sugar are needed to make 8 dozen cookies.
Therefore, the correct answer is not 11 2/3 cups, but rather around 10.67 cups.