A group of 9 workers was assigned to paint the walls in a house, which could be completed in 48 hours. However, after working 8 hours, some of the workers left the group and the remaining workers could complete the job in 72 hours. How many workers left the team? Plz write equation:0

4 workers

Explanation:

We have 9 workers painting walls in a house. Let's say the total square feet needed to be painted is 9000 square feet. I picked some arbitrary large multiple of 9, so that it leads to 9000/9 = 1000 square feet per worker.

In other words, each worker paints 1000 square feet.

They can do the job in 48 hours, which means their rate is 1000/48 = 125/6 square feet per hour approximately.

After 8 hours, each worker paints 8*(125/6) = 500/3 square feet. So all 9 workers painted 9*(500/3) = 1500 square feet

Put another way: they got 8/48 = 1/6 of the job done after 8 hours, so (1/6)*9000 = 1500 sq feet of wall has been painted so far. This leaves 9000-1500 = 7500 sq ft unpainted.

Let x be the number of workers that leave.

There are 9-x people still on the job.

The 7500 sq ft of left over wall is divided among the 9-x people. Each worker gets 7500/(9-x) sq feet of wall to paint.

Earlier we found each worker's rate was 125/6 sq ft per hour. If they complete the remaining job in 72 hours, then,

(rate)*(time) = (amount of job done)

(125/6)*(72) = 7500/(9-x)

1500 = 7500/(9-x)

1500(9-x) = 7500

9-x = 7500/1500

9-x = 5

-x = 5-9

-x = -4

x = 4

4 workers went home.

If 4 workers went home, then 9-4 = 5 workers remain

They each have 7500/5 = 1500 sq ft of wall to paint, which helps confirm the answer.

answer: yes i agree that you should not put it on/p>

step-by-step explanation: the reason for this is that it wastes other peoples time and also make them fail as well and that is never good.

i get you, what you should do is think of the positive things that would come out of it. it will make yours parents proud and raise your grade. you should always try and if you can't focus tell the teacher.