Betty the Baker is baking cakes. Each cake uses [tex]$1 \frac{1}{2}$[/tex] cups of flour. She has a 50-pound bag of flour, which equals [tex]$181 \frac{1}{2}$[/tex] cups.

How many cakes can she bake with 50 pounds of flour?

Write an equation to solve the problem. Be prepared to explain how you determined your answer.

To solve this problem, we need to determine how many cakes Betty can bake with the flour she has available.

Here's a step-by-step solution:

1. Identify the Total Amount of Flour in Cups:
Betty has a total of [tex]$ 181 \frac{1}{2} $[/tex] cups of flour. This can also be written as 181.5 cups.

2. Understand the Flour Requirement for Each Cake:
Each cake requires [tex]$ 1 \frac{1}{2} $[/tex] cups of flour, which can be expressed as 1.5 cups.

3. Set Up the Division Equation:
To find out how many cakes can be baked, divide the total amount of flour by the amount needed per cake:
[tex]\[
\text{Number of cakes} = \frac{181.5}{1.5}
\][/tex]

4. Calculate the Number of Cakes:
When you perform the division [tex]$ \frac{181.5}{1.5} $[/tex], you find that Betty can bake 121 cakes.

Therefore, with 181.5 cups of flour, Betty can bake a total of 121 cakes.