Question

James has a recipe that uses 1 1/2 cups of brown and 2 1/3 cups of flour to make 24 muffins. He has a total of 7 cups of sugar. James wants to use all of his flour to make as many muffins as possible using this recipe. Part A: How many cups of brown sugar will James need if he uses all 7 cups of flour? Part B: How many muffins will James make if he uses all 7 cups of flour?

Answer 1

Part A: James needs 10 1/2 cups of sugar if he uses all 7 cups of flour

Part B: James will make 72 muffins if he uses all 7 cups of flour

Explanation:

*I had an easier time figuring out part B before I figured out part A

PART B:

If the original recipe uses 2 1/3 cups of flour, and James has 7 cups of flour, I started off by dividing 7 by 2 1/3 to see how many times we can get 2 1/3 cups out of 7 cups. 7 divided by 2 1/3 = 3. Now that we know we can get 3 cups out of 2 1/3 cups, we need to multiply 3 by 24 to find out how many muffins James will get. 24 * 3 = 72

James will get 72 muffins by using 7 cups of flour.

PART A: Now we know that James is making 72 muffins. We need to find out how many cups of sugar James needs. To do that we can multiply 1 1/2 cups by 7. The product is 10 1/2 cups of sugar. Now we know that James needs 10 1/2 cups of flour if he uses all 7 cups of flour.

Hope this helps!!