+0

# Jskssjjss asap

0
128
7

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

#1
+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. Apr 30, 2021

#1
+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. MathProblemSolver101 Apr 30, 2021
#4
0

Nice job, MPS  !!!!!   CPhill  Apr 30, 2021
#5
+2

MathProblemSolver101  Apr 30, 2021
#3
+1

N(100)  =  (N - 10) (110)

100N =  110N  -  1100

1100 =   110 N - 100N

1100 =  10N

1100 / 10  = N =  110   Apr 30, 2021
#6
0

Good

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

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

MathProblemSolver101  Apr 30, 2021