The number of days needed to remodel a house varies inversely as the number of people working on the job. It takes 18 weeks for 4 people to complete the project. If the job has to be finished in 8 weeks, how many people are needed?

To solve this problem, you must follow the proccedure below:

1. First, you must calculate the Constant of proportionality "k".

2. The problem says that t he number of days needed to remodel a house varies inversely as the number of people working on the job. Then:

Number of days=K/Number of people

K = (Number of days) (Number of people)

18 weeks=135 days

K=135x4

K=540

3. Now, you have:

Number of days=540/Number of people

8 weeks=60 days

Number of people=540/60

Number of people=9

How many people are needed?

The answer is: 9