The number of days needed to remodel a house varies inversely with 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?

Question

anonymous · Answer

Let 'd' be the number of days needed and 'p' be the number of people needed.

d∝1/p
d=k/p

If it takes 18 weeks (126 days) for 4 people to complete project...

126=k/4
k=126*4
  =504

Therefore your equation is 

d=504/p

If the job has to be finished in 8 weeks (56 days), how many people are needed?

Subst d=56 into d=504/p and solve for p

56=504/p
56p=504
p=504/56
  = 9

9 people are needed.

Do you follow?

anonymous · Answer

yes

anonymous · Answer

ok i have another one im gonna post right here

anonymous · Answer

A rectangle has length 36 cm and width 28 cm. Find the length of another rectangle of equal area whose width is 21 cm.

anonymous · Answer

A=length x width
  = 36 * 28
  =1008 cm^2

We need the length of a rectangle with a width of 21 cm and an area of 1008 cm^2

A= length x width
1008 = length * 21
1008/21 = length
48 = length

The length would be 48 cm

anonymous · Answer

an easier way-the area is =36*28 =21*length
length=36*28/21=48cm=length