A recipe calls for 4 cups of sugar to make 4 dozen cookies. Use the proportion to calculate how much sugar is needed to make 8 dozen cookies. A 2 cups B 8 cups c 8..5 cups D 12 cups.
Is it 8 cups of sugar?
Well, if you think about it, doubling the number of cookies means you'll need to double the amount of sugar too. So, we can use a simple proportion to solve this.
If 4 cups of sugar is needed for 4 dozen cookies, then we can set up the proportion:
4 cups sugar / 4 dozen cookies = x cups sugar / 8 dozen cookies
Simplifying this, we get:
1 cup sugar = x cups sugar / 2
Now, cross multiply and solve for x:
1 * 2 = x
x = 2
So, the answer is not 8 cups of sugar, but rather 2 cups of sugar. Keep in mind, though, that this is just an estimation. If you have a sweet tooth, you might want to add a little bit extra!
To find out how much sugar is needed to make 8 dozen cookies, we need to use the proportion:
4 cups of sugar = 4 dozen cookies
Let's set up the proportion:
4 cups of sugar / 4 dozen cookies = x cups of sugar / 8 dozen cookies
To solve for x (the amount of sugar needed to make 8 dozen cookies), we can cross-multiply and then solve for x:
4 cups of sugar * 8 dozen cookies = 4 dozen cookies * x cups of sugar
32 cups of sugar = 4x
Divide both sides of the equation by 4 to isolate x:
32 cups of sugar / 4 = 4x / 4
8 cups of sugar = x
Therefore, the amount of sugar needed to make 8 dozen cookies is 8 cups. So, your answer is B) 8 cups of sugar.
To solve this problem using proportions, we can set up the equation:
4 cups of sugar / 4 dozen cookies = x cups of sugar / 8 dozen cookies
Cross-multiplying, we get:
4 cups of sugar * 8 dozen cookies = 4 dozen cookies * x cups of sugar
32 cups of sugar = 4x
Dividing both sides of the equation by 4, we find:
8 cups of sugar = x
Therefore, the correct answer is A) 8 cups of sugar.