50% of Meredith’s shoes are sneakers. If she has 10 pairs of sneakers, how many pairs of shoes does Meredith have in all? Pick the model that represents the problem.
The Correct Answer and Explanation is:
Let’s break this down step by step.
Step 1: Understanding the Information Given
- 50% of Meredith’s shoes are sneakers.
- She has 10 pairs of sneakers.
We need to find out how many pairs of shoes she has in total. To solve this, we can set up an equation.
Step 2: Representing the Problem with Variables
Let xxx represent the total number of pairs of shoes Meredith has. We know that 50% of her total shoes are sneakers. This means: 0.50 \times x = 10 \quad \text{(since 50% of her shoes are sneakers, and she has 10 pairs of sneakers)}
Step 3: Solving the Equation
To solve for xxx, divide both sides of the equation by 0.50: x=100.50=20x = \frac{10}{0.50} = 20x=0.5010=20
Step 4: Conclusion
So, Meredith has 20 pairs of shoes in total. This means that out of the 20 pairs, 10 are sneakers, and the other 10 could be other types of shoes, like boots or flats.
Explanation of the Model
- The problem is represented as 0.50×x=100.50 \times x = 100.50×x=10, where xxx is the total number of pairs of shoes.
- By dividing both sides by 0.50, we found the total number of shoes.
Therefore, the total number of pairs of shoes Meredith has is 20.
