SOLUTION: hey can you please help me with this question $540 is divided among three people. a,b,c, so that a gets three times as much as c, and b gets twice as much as c. how much does c ge

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Question 571508: hey can you please help me with this question
$540 is divided among three people. a,b,c, so that a gets three times as much as c, and b gets twice as much as c. how much does c get?
thanks
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+a+%2B+b+%2B+c+=+540+
+a+=+3c+
+b+=+2c+
-----------------
By substitution:
+3c+%2B+2c+%2B+c+=+540+
+6c+=+540+
+c+=+90+
and
+a+=+3c+
+a+=+3%2A90+
+a+=+270+
and
+b+=+2c+
+b+=+2%2A90+
+b+=+180+
a gets 270
b gets 180
c gets 90
check:
+a+%2B+b+%2B+c+=+540+
+270+%2B+180+%2B+90+=+540+
+540+=+540+
OK