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A certain number of men can finish a piece ofwork in 100 days. If there were 10 men less, it
would take 10 days more for the work to be
finished. How many men were there
originally?
75
(b) 92
(C) 120
famiont​

 Apr 30, 2021

Best Answer 

 #1
avatar+258 
+1

A certain number of men can finish a piece of work in 100 days. If there were 10 men less, it would take 10 days more for the work to be finished. How many men were there originally?

 

Let m = number of men

 

Let w = work

 

Let d = days

 

We know that m * d = w

 

Since we are given that m men can finish a piece of work in 100 days, we have

m*100=w

 

Thus, 100m = w. (1)

 

We are also given that if there were 10 men less (m-10) it will take 10+100=110 days to finish it.

 

So we have (m-10)(110)=w,

 

110m-1100=w. (2)

 

Now, (1) = (2) because they both have w and so they’re equal.

 

Thus we have 110m-1100=100m

 

Subtracting both sides by 100m we have 10m - 1100 = 0.

 

Adding both sides by 1100 we have 10m = 1100

 

Dividing both sides by 10 we have m = 110.

 

Therefore there were 110 men originally.

 

 

laugh

 Apr 30, 2021
 #1
avatar+258 
+1
Best Answer

A certain number of men can finish a piece of work in 100 days. If there were 10 men less, it would take 10 days more for the work to be finished. How many men were there originally?

 

Let m = number of men

 

Let w = work

 

Let d = days

 

We know that m * d = w

 

Since we are given that m men can finish a piece of work in 100 days, we have

m*100=w

 

Thus, 100m = w. (1)

 

We are also given that if there were 10 men less (m-10) it will take 10+100=110 days to finish it.

 

So we have (m-10)(110)=w,

 

110m-1100=w. (2)

 

Now, (1) = (2) because they both have w and so they’re equal.

 

Thus we have 110m-1100=100m

 

Subtracting both sides by 100m we have 10m - 1100 = 0.

 

Adding both sides by 1100 we have 10m = 1100

 

Dividing both sides by 10 we have m = 110.

 

Therefore there were 110 men originally.

 

 

laugh

MathProblemSolver101 Apr 30, 2021
 #2
avatar
0

yeah right

Guest Apr 30, 2021
 #4
avatar+118611 
0

Nice job, MPS  !!!!!

 

 

cool cool cool

CPhill  Apr 30, 2021
 #5
avatar+258 
+2

Thank you, CPhill! I love your answers too :-)

MathProblemSolver101  Apr 30, 2021
 #3
avatar+118611 
+1

N(100)  =  (N - 10) (110)

 

100N =  110N  -  1100

 

1100 =   110 N - 100N

 

1100 =  10N

 

1100 / 10  = N =  110

 

 

cool cool cool

 Apr 30, 2021
 #6
avatar
0

Good

Guest Apr 30, 2021
edited by Guest  Apr 30, 2021
 #7
avatar+258 
+1

That's a bug, then, isn't it?

MathProblemSolver101  Apr 30, 2021

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