SOLUTION: Sam recieves 6 dollars more than Nathan for allowance. Nathan received 8 dollars less than Hector. if Sam receives 14 dollars for allowance how much does Hector receive?

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Question 605081: Sam recieves 6 dollars more than Nathan for allowance. Nathan received 8 dollars less than Hector. if Sam receives 14 dollars for allowance how much does Hector receive?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +s+ = Sam's allowance
Let +n+ = Nathan's allowance
Let +h+ = Hector's allowance
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given:
(1) +s+=+n+%2B+6+
(2) +n+=+h+-+8+
(3)( +s+=+14+
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Substitute (3) into (1)
(1) +14+=+n+%2B+6+
(1) +n+=+12+
Substitute (1) into (2)
(2) +12+=+h+-+8+
(2) +h+=+12+%2B+8+
(2) +h+=+20+
Hector receives $20