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 the 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