Chapter 6.5, Problem 14P

Grandma's favorite muffin recipe uses $1\frac{3}{4}$ cups of flour for 1 batch of 12 muffins. For each of the problems (a) through (c), solve the problem in two ways: (1) by reasoning about the situation and (2) by interpreting the problem as a division problem (say whether it is a how-many-groups or a how-many- units-in-I-group type of problem) and by solving the division problem using standard paper-and-pencil methods. Do not use a calculator. Verify that you get the same answer both ways.

1. How many cups of flour are in 1 muffin?
2. How many muffins does I cup of flour make?
3. If you have 3 cups of flour, then how many batches of muffins can you make? (Assume that you can make fractional batches of muffins and that you have enough of all the ingredients.)