How to solve this "math" problem

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kakizito

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Hello everyone, I have a "math" problem to solve that I found a little tricky, so I will try to explain so I can draw some conclusions.

Me and a co-worker have to split $1.5k from a job that took 250 hours to do for example. If I worked 125 hours and he 125 hours we would split $750-$750 easy right?

Hou about if I worked more 30 hours than him? How would you split this? Price of hour would be $6.
 
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Hmm, maybe just, split $1500 / X hours worked, then you do like $6 X the hours worked, for each of you, or something? :) I'm not a math genius myself..
 
X = hours he worked
x + 30 = hours you worked

x + x +30 = 250
2x = 220
x = 110
x+ 30 = 140.

If it's 6 dollars an hour, then
x = 660
x + 30 = 840

So you get 840, he gets 660
 
You worked 140 hours, and he worked 110 hours. At $6 per hour you would get $840 and he would get $660 :)

I got it like this. You said you worked 30 hours more than him

Split the 30 hours in two = 15 hours
125 + 15 = 140
125 - 15 = 110
140 + 110 = 250

140 x 6 = $840
110 x 6 = $660
 
Last edited:
Another way to do it is:

30x6 = 180
1500 - 180 = 1320
1320/2 = 660
He gets 660
You get 660 + 180 = 840

That's if you don't like letters in your math. Haha.
 
follow his math posted above >> bumpywowus
 
Last edited:
Seems like there are some math genius here after all lol :)
 
1500
You worked 140, he worked 110
1500/250*140=840 (yours)
1500/250*110=660(his)
 
cgimaster said:
Why not simple calculate how many hours you worked and how many hours your co-worker did plus your hour price ?

155*6 = 930
95*6 = 570

That is assuming your price is always the exact amount of hours you could calculate it straight that way, unless im missing something here.

From what you said, you are asking if you worked 30 hours more than him on your 250 example so instead of working 125 you would have worked 155 while he would have worked 95.
Click to expand...

your calculation actually insinuates that he worked 60 hours more than his partner. you have to divide the 30 hours in half

He didnt work 30 hours more than 125, he worked 30 hours more than his partner. He worked 140 hours, and his partner worked 110 hours
 
Yeah dont bother me :P have edited after reading bumpywowus formula.
 
Thx for your answers.

My first assumption was $750 + $180 ($30x6hours) = $930 for me, and $750 -$180 = $570 for him.

I found this a bit tricky, because let's say if I have $750 base and he owes me 30 hours ($180) will be 750 plus 180, and those $180 will be subtracted from his $750 base.

Tricky one no?
 
kakizito said:
Hello everyone, I have a "math" problem to solve that I found a little tricky, so I will try to explain so I can draw some conclusions.

Me and a co-worker have to split $1.5k from a job that took 250 hours to do for example. If I worked 125 hours and he 125 hours we would split $750-$750 easy right?

Hou about if I worked more 30 hours than him? How would you split this? Price of hour would be $6.
Click to expand...

Let x be the number of hours your coworker worked.
x+30 is therefore the number of hours you worked.
x+x+30 = 250
2x+30 = 250
2x = 220
x = 110
Therefore your coworker worked 110 hours and gets $660, and you get the remainder of $840.
 
Here is a more generic solution that could be applied to multiple situations.

Your payment = ((Total Number Of Hours/2) + (Your Additional Hours/2) / Total Number Of Hours) * Total Payment

Which can be simplified to:

Your payment = Total Payment * (Total Number Of Hours+Your Additional Hours) / Total Number Of Hours * 2

So in this case

Your payment = $1500 * 280 / 500 = $840
 
kakizito said:
Thx for your answers.

My first assumption was $750 + $180 ($30x6hours) = $930 for me, and $750 -$180 = $570 for him.

I found this a bit tricky, because let's say if I have $750 base and he owes me 30 hours ($180) will be 750 plus 180, and those $180 will be subtracted from his $750 base.

Tricky one no?
Click to expand...

Don't use $750 as a base, because you said:

I worked 30 hours more than him.

You did NOT say:

I worked 30 more hours than half the total hours.

If you worked 30 hours more than him, that means you worked 140 hours and he worked 110. 140 * 6 = $840, it's that simple.
 
Simple!
$Amount / total hours = $X

$X * yourhours = $youramount
$X * hishours = $hisamount
 
Never mind complicating this with algebra!

Just divide the amount of money in total by the mount of hours... then pay each of you the hours you both worked...

$1500 / 250 is $6 per hour..

You worked 140 so 140 x 6 = 840

He worked 110 so 110 x 6 = 660


An easy way to do this with any number is this..

WAGE / HOURS = PER HOUR

PER HOUR * HOURS WORKED = WAGE

Then, if you don't know the total hours you both did but you know that you did a certain amount more than him...

TOTAL HOURS / 2 = a

EXTRA HOURS YOU WORKED / 2 = b

a + b = your hours

a - b = his hours

Obviously, if you worked less, you would be a - b
 
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