SOLUTION: This problem is doing my head in and despite trying all the equations I remember, I just cant get it! I know it's easy, i just dont know where I am going wrong.... Bill earns

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Question 887957: This problem is doing my head in and despite trying all the equations I remember, I just cant get it!
I know it's easy, i just dont know where I am going wrong....
Bill earns $4/hour more than Sam, and Sam earns $2/hour more than John. Altogether on a 10 hour day they earn $440, how much does each person earns?
Thanks in advance

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
b, s, j, their rates.
by itself.



Each works 10 hours and their total is 440 dollars.

.
How is that? You can do the rest.

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

This problem is doing my head in and despite trying all the equations I remember, I just cant get it!
I know it's easy, i just dont know where I am going wrong....
Bill earns $4/hour more than Sam, and Sam earns $2/hour more than John. Altogether on a 10 hour day they earn $440, how much does each person earns?
Thanks in advance

You failed to share what you've tried. If you had, one of us might've been able to point out your error.
Let Bill's per-hour earnings be B
Then Sam's is: B - 4
Also, John's is: B - 4 - 2, or B - 6
Since it appears as though EACH worked 10 hours, then we can say that:
10(B) + 10(B - 4) + 10(B - 6) = 440
10B + 10B - 40 + 10B - 60 = 440
30B - 100 = 440
30B = 440 + 100
30B = 540
B, or Bill's per-hour earnings = , or $
Sam's per-hour earnings: 18 - 4, or $
John's per-hour earnings: 18 - 6, or $
You can do the check!!
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