Megan wants to have an extension built on her house. She is told it will take 8 builders 28 days to build the extension. How many builders would Megan need to hire if she wanted her extension built in 16 days?

To determine how many builders Megan would need to hire to complete the extension in 16 days, we can use the concept of work done, which is based on the number of builders and the time taken. First, we calculate the total amount of work required to build the extension in terms of builder-days. Given: - 8 builders take 28 days to complete the work. Total work in builder-days = Number of builders × Number of days \[ \text{Total work} = 8 \text{ builders} \times 28 \text{ days} = 224 \text{ builder-days} \] Now, if Megan wants to complete the work in 16 days, we can find out how many builders she would need by dividing the total work by the number of days she wants to complete it in. Let \( x \) be the number of builders needed: \[ x \text{ builders} \times 16 \text{ days} = 224 \text{ builder-days} \] Now, solve for \( x \): \[ x = \frac{224 \text{ builder-days}}{16 \text{ days}} = 14 \text{ builders} \] Therefore, Megan would need to hire **14 builders** to complete the extension in 16 days.