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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.

Answer :

Certainly! Let's break down the problem step by step to find out how many cakes Betty the Baker can bake with her bag of flour.

1. Understand the Problem:
- Each cake requires [tex]\( 1 \frac{1}{2} \)[/tex] cups of flour.
- Betty has a total of [tex]\( 181 \frac{1}{2} \)[/tex] cups of flour.

2. Convert Mixed Numbers to Improper Fractions or Decimals:
- [tex]\( 1 \frac{1}{2} \)[/tex] cups is the same as 1.5 cups.
- [tex]\( 181 \frac{1}{2} \)[/tex] cups is the same as 181.5 cups.

3. Set Up the Equation:
- We need to find out how many times 1.5 cups (the flour needed per cake) can fit into 181.5 cups (total flour available).
- This can be represented by the division:
[tex]\[
\text{Number of cakes} = \frac{181.5}{1.5}
\][/tex]

4. Calculate:
- Divide 181.5 by 1.5 to find out how many cakes can be made:
[tex]\[
\text{Number of cakes} = \frac{181.5}{1.5} = 121
\][/tex]

5. Conclusion:
- Betty the Baker can bake 121 cakes with the flour she has.

By following these steps, we've determined that Betty can bake a total of 121 cakes.

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