If 4 pairs of socks costs $10.00, how many pairs of socks can be purchased for $22.50?

Options

A. `5`
B. `7`
C. `8`
D. `9`

Answer

To solve the problem step by step, we can follow these calculations:

1. **Determine the cost of one pair of socks**:
We know that 4 pairs of socks cost $10.00. To find the cost of one pair, we divide the total cost by the number of pairs:
\[ \text{Cost of one pair} = \frac{\text{Total cost}}{\text{Number of pairs}} = \frac{10.00}{4} = 2.50 \text{ dollars} \]

2. **Calculate how many pairs can be purchased with $22.50**:
Now that we know the cost of one pair of socks is $2.50, we can find out how many pairs can be bought with $22.50 by dividing the total amount by the cost of one pair:
\[ \text{Number of pairs} = \frac{\text{Total amount}}{\text{Cost of one pair}} = \frac{22.50}{2.50} \]

3. **Perform the division**:
To calculate \( \frac{22.50}{2.50} \):
\[ \frac{22.50}{2.50} = 9 \]

Thus, the number of pairs of socks that can be purchased for $22.50 is **9 pairs**.