SOLUTION: Hi Shawn Jeffrey and Tony have some money. Shawn and Jeffrey have $150 altogether. If Shawn receives $30 from his mother, he will have the same amount of money as Jeffrey and Tony

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Question 1197413: Hi
Shawn Jeffrey and Tony have some money. Shawn and Jeffrey have $150 altogether. If Shawn receives $30 from his mother, he will have the same amount of money as Jeffrey and Tony will have 1/3 of what Shawn has.
How much money does Shawn have.
Thanks

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
x, j, t
saun, jeffrey, tony

system%28x%2Bj=150%2Cx%2B30=j%2Ct=%281%2F3%29%28x%2B30%29%29-------might be misinterpreted

system%28x%2Bj=150%2Cx-j=-30%2C3t=x%2B30%29
These first two equations will quickly give the values for x and j.
highlight%28x=60%29andhighlight%28j=90%29

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Shawn Jeffrey and Tony have some money. Shawn and Jeffrey have $150 altogether. If Shawn receives $30 from his mother, he will have the same amount of money as Jeffrey and Tony will have 1/3 of what Shawn has.
How much money does Shawn have.
Thanks
This is TOTALLY UNNECESSARY info./NOT BEEDED: Tony will have 1/3 of what Shawn has.

Shawn and Jeffrey have a total of $150
Since Shawn has the same as Jeffrey after receing $30, then Jeffrey must have $30 more than Shawn 
Therefore, Jeffrey must have $90 and Shawn: $60

OR

Let amount Shawn has be S
Then Jeffrey has 150 - S
Adding $30 to Shawn's amount gives him S + 30

Shawn then has the same amount as Jeffrey so we have: S + 30 = 150 - S
2S = 120
Amount Shawn has, or highlight_green%28matrix%281%2C5%2C+S%2C+%22=%22%2C+120%2F2%2C+%22=%22%2C+%22%2460%22%29%29.