SOLUTION: Two workers earn £300 between them. One worker gets £25 more than the other how much do they each get. please explain the workings out for this one. b Williams

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Question 888697: Two workers earn £300 between them. One worker gets £25 more than the other how much do they each get. please explain the workings out for this one. b Williams
Found 3 solutions by Fombitz, josmiceli, Edwin McCravy:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Let the pays be A and B.

One get 25 more than the other.

Substitute into the first equation.




Then,



Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = the worker who makes
less money than the other
The worker who makes the most money
makes
--------------------
Together they make , so I can say:




and

---------------------
One gets 137.50 and the other gets 162.50
check:


---------------
Hope this helps

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
There are two ways to do this problem:

First way:

Two workers earn £300 between them.
One worker earns £x
The other earns £300-£x

One worker gets £25 more than the other.
So £x = £300-£x + £25
    x = 300 - x + 25
    x = 325 - x
   2x = 325
    x = 162.50

One worker earns £x = £162.50
The other earns £300-£x = £300-£162.50 = £137.50

---------------------------------
Second way:

One worker gets £25 more than the other
Other worker gets £x
So the one worker gets £x + £25

Two workers earn £300 between them.
Therefore the equation is

£x + £x + £25 = £300
   x + x + 25 = 300
      2x + 25 = 300
           2x = 275
            x = 137.50

So

The other worker gets £x = £137.50
The one worker gets £x + £25 = £137.50 + £25 = £162.50

Edwin

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