SOLUTION: Sam has twice as much money as Mary, who has $175 less than Larry. But Larry has as much money as Sam and Mary have together. How much money does each person have?

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Question 229480: Sam has twice as much money as Mary, who has $175 less than Larry. But Larry has as much money as Sam and Mary have together. How much money does each person have?
Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!
Sam has twice as much money as Mary, who has $175 less than Larry. But Larry has as much money as Sam and Mary have together. How much money does each person have?
>>...Sam has twice as much money as Mary,...<< 

S=2M


>>...Mary, who has $175 less than Larry...<<

M=L-175

>>...Larry has as much money as Sam and Mary have together...<<

L=S%2BM

So the sytem of equations is

system%28S=2M%2CM=L-175%2CL=S%2BM%29

Can you solve this system? If not post again asking how.

Answer: Mary has $87.50, Larry has $262.50, and Sam has $175.

Edwin