SOLUTION: Please help me solve Joshua had a $150 more than Jason and $70 less than George the three boys had a total of $790 How much did George have?

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Question 1033101: Please help me solve
Joshua had a $150 more than Jason and $70 less than George the three boys had a total of $790
How much did George have?

Found 2 solutions by ikleyn, Edwin McCravy:
Answer by ikleyn(52785) About Me  (Show Source):
You can put this solution on YOUR website!
.
Please help me solve
Joshua had a $150 more than Jason and $70 less than George the three boys had a total of $790
How much did George have?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Let x = #$ Joshua has.
Then Jason has (x-150) dollars, and
     George has (x+70) dollars.

In total, they have x + (x-150) + (x+70) = 3x -80.

So, your equation is 

3x - 80 = 790.

3x = 790 + 80,

3x = 870,

x = 870%2F3 = 290.

Now complete the solution yourself.


Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
x = how much Joshua had
y = how much Jason had
z = how much George had
Please help me solve
Joshua had a $150 more than Jason...
x = y+150
and (Joshua had) $70 less than George
x = z-70
the three boys had a total of $790
x+y+z = 790
We have the system:
system%28x+=+y%2B150%2Cx+=+z-70%2Cx%2By%2Bz+=+790%29
Solve 1st for y: y = x-150
Solve 2nd for z: z = x+70
Substitute those for x and y in the 3rd equation.
You finish.
Edwin