SOLUTION: What would be the equation for this? Tien and Kenji collect stamps. Kenji collected 29 fewer than three times the number of Tien’s stamps. Altogether, they collected 675 stamps. Ho

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: What would be the equation for this? Tien and Kenji collect stamps. Kenji collected 29 fewer than three times the number of Tien’s stamps. Altogether, they collected 675 stamps. Ho      Log On


   

Question 916643: What would be the equation for this? Tien and Kenji collect stamps. Kenji collected 29 fewer than three times the number of Tien’s stamps. Altogether, they collected 675 stamps. How many stamps did Tien and Kenji collect?
Found 2 solutions by josmiceli, Hawksfan:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = the number of stamps Tien collected
+3n+-+29+ = the number that Kenji collected
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+n+%2B+3n+-+29+=+675+
+4n+=+675+%2B+29+
+4n+=+704+
+n+=+176+
and
+675+-+176+=+499+
Tien collected 176 stamps
Kenji collected 499 stamps
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check:
+3n+-+29+=+499+
+3n+=+499+%2B+29+
+3n+=+528+
+n+=+176+
OK

Answer by Hawksfan(61) About Me  (Show Source):
You can put this solution on YOUR website!
K + T = 675
K = 3T-29
Substitute:
3T-29 + T = 675
4T -29 = 675
4T = 704
T = 176 stamps
K = 3 (176) -29 = 499 stamps