Question

An employer find that if he increase wages of each worker by $5 and employs 5 workers less,he increases his weekly wage bill from $3150 to $3250,Taking the original weekly wage of each worker as x; obtain an equation in x and then solve it to find the weekly wage of each worker.

Answer 1

@Directrix @dan815

Answer 2

original wage : x
original no of workers : N
original bill:
Nx=3150

bill after modifications
(N-5)(N+5)=3250

use substitution to solve these two equations

Answer 3

*(N-5)(x+5)=3250

Answer 4

which part you having a problem with?

Answer 5

@imqwerty

Answer 6

where are u stuck?

Answer 7

substitution

Answer 8

ok

Answer 9

Nx=3150

can u find out N in terms of x

Answer 10

̸̶̵̴̛͕͇̾̒̏́͐̌͒̊͆̃̉͗͑̑̿̅̄̚͠͡͝͞γ̴̵̶̸̸̶̵̴̛̛͇͕͕͇̄̅̿̑͑͗̉̃͆̊͒̌͐́̏̒̾̾̒̏́͐̌͒̊͆̃̉͗͑̑̿̅̄̚̚͞͝͡͠͠͡͝͞l̴̵̶̸̸̶̵̴̛̛͇͕͕͇̄̅̿̑͑͗̉̃͆̊͒̌͐́̏̒̾̾̒̏́͐̌͒̊͆̃̉͗͑̑̿̅̄̚̚͞͝͡͠͠͡͝͞l̴̵̶̸̸̶̵̴̛̛͇͕͕͇̄̅̿̑͑͗̉̃͆̊͒̌͐́̏̒̾̾̒̏́͐̌͒̊͆̃̉͗͑̑̿̅̄̚̚͞͝͡͠͠͡͝͞ī̴̵̶̸̸̶̵̴̛̛͇͕͕͇̅̿̑͑͗̉̃͆̊͒̌͐́̏̒̾̾̒̏́͐̌͒̊͆̃̉͗͑̑̿̅̄̚̚͞͝͡͠͠͡͝͞Ɉ̴̵̶̸̸̶̵̴̛̛͇͕͕͇̄̅̿̑͑͗̉̃͆̊͒̌͐́̏̒̾̾̒̏́͐̌͒̊͆̃̉͗͑̑̿̅̄̚̚͞͝͡͠͠͡͝͞n̴̵̶̸̸̶̵̴̛̛͇͕͕͇̄̅̿̑͑͗̉̃͆̊͒̌͐́̏̒̾̾̒̏́͐̌͒̊͆̃̉͗͑̑̿̅̄̚̚͞͝͡͠͠͡͝͞ɒ̴̵̶̸̸̶̵̴̛̛͇͕͕͇̄̅̿̑͑͗̉̃͆̊͒̌͐́̏̒̾̾̒̏́͐̌͒̊͆̃̉͗͑̑̿̅̄̚̚͞͝͡͠͠͡͝͞ʜ̴̵̶̸̛͇͕̄̅̿̑͑͗̉̃͆̊͒̌͐́̏̒̾̚͞͝͡͠Ɔ̴̵̶̸̛͇͕̄̅̿̑͑͗̉̃͆̊͒̌͐́̏̒̾̚͞͝͡͠

Answer 11

Well , I boiled it down to:
N^2 - 5N - 3150 = 0

Answer 12

(͡° ͜ʖ ͡°)

Answer 13

wait

Answer 14

N^2 - 25N - 3150 = 0

Answer 15

this is a typo-(N-5)(N+5)=3250

@baru corrected it
it is-(N-5)(x+5)=3250

Answer 16

O_O

Answer 17

what

Answer 18

Well,what next?

Answer 19

did u understand why is it (N-5)(x+5)=3250

Answer 20

(͡° ͜ʖ ͡°)

Answer 21

N^2 - 25N - 3150 = 0

Answer 22

why are u sticking to this?
it is wrong actually

Answer 23

lets start over :)
ok?

Answer 24

Okay:)

Answer 25

lets say that total number of workers=N
:)
and their original wage be =x

Answer 26

so original its Nx = 3150 , right?

Answer 27

yes :)

can separate N from x anyhow in this equation

Answer 28

x = 3150/N
:)

Answer 29

u separated x
well this will work but its better to separate N i'll tell afterwards why it is better to separate N :)

Answer 30

N = 3150/x
better?:)

Answer 31

yes :)
now tell what will be the total number of ppl and what will be their new wage :)

Answer 32

(n-5)(x+5) = 3250?

Answer 33

(͡° ͜ʖ ͡°)

Answer 34

*N
yes thats correct :)
now our next step is to fin out x
and x is our answer

Answer 35

to find out x we gotta throw N outta the equation

Answer 36

so we put N=3150/x in the equation to remove the N ok?

Answer 37

yes

Answer 38

ok so substitute N=3150/x in the second equation

Answer 39

(3150/x - 5)(x+5) = 3250

Answer 40

yes
now u solve this equation to get x

Answer 41

wait lemme solve :)

Answer 42

ok (:

Answer 43

(3150 - 5x)(x+5) = 3250x

Answer 44

yes

Answer 45

x^2 - 25x + 3150 = 0

Answer 46

that will be -x^2

Answer 47

okay:)

Answer 48

-x^2 - 25x + 3150 = 0
-(x^2 + 25x - 3150) = 0

Answer 49

go on

Answer 50

I don't know how to factoroise this type of equations:(

Answer 51

its ok u can use this formula to get x
\[x=\frac{ -b \pm \sqrt{b^2-4ac} }{ 2a}\]

a=coeff of x^2
b=coeff of x
c=constant

Answer 52

actually,I can only use the formula when said so in the questions...

Answer 53

eg :"correct the answer to two decimal places" then I HAVE TO use the formula...not otherwise.

Answer 54

its 45?

Answer 55

yes

Answer 56

now if we wuld have taken x in terms of N
then we wuld have find N and then we wuld have put this value of N in one of the equation to get x
so this method involved an extra step this is reason y we didn't took x in terms of N

Answer 57

I know:)

Answer 58

Anyways thanks :) :D B)

Answer 59

np (B

Answer 60

xD...sorry. i should have been more careful :)