Question

Jeffrey's recipe for oatmeal muffins calls for 2 1/4 cups of oatmeal and makes one dozen muffins. If he makes 1 1/2 dozen muffins for a club meeting, how much oatmeal will he use?

Answer 1

To make 1 1/2 dozen oatmeal muffins, Jeffrey will need 3 3/8 cups of oatmeal, which is calculated by scaling the original recipe proportionally.

Step-by-step explanation:

The question is about determining how much oatmeal Jeffrey will need to use if he scales up his recipe for oatmeal muffins from one dozen to one and a half dozen. Since the original recipe calls for 2 1/4 cups of oatmeal for one dozen muffins, we can set up a proportion to find out how much oatmeal is needed for 1 1/2 dozen muffins.

First, we convert the one and a half dozen to a numerical value that we can work with. A dozen is 12, so one and a half dozen is 12 * 1.5, which equals 18 muffins. Now, we can set up the following proportion:

2 1/4 cups oatmeal / 12 muffins = x cups oatmeal / 18 muffins

Solving for x gives us:

x = (2 1/4 cups oatmeal) * (18 muffins) / 12 muffins

To simplify the calculation, first, change 2 1/4 cups to a single fraction format, which is 9/4 cups.

x = (9/4 cups oatmeal) * (18 muffins) / 12 muffins

Multiply 9/4 by 18 and then divide by 12:

x = (9/4) * (3/2) cups oatmeal

Multiply the fractions:

x = 27/8 cups oatmeal

Finally, simplify the fraction:

x = 3 3/8 cups oatmeal

Jeffrey will need 3 3/8 cups of oatmeal to make 1 1/2 dozen muffins.

Answer 2

1 1/8 cups of oatmeal b/c 2 1/4 ÷ 2 = 1 1/8 ( one and one eighth)