SOLUTION: each spring, the conservation authority stocks the local lake with 10 000 bass and perch. if there were three times as many bass and twice as many perch, the total number of fish w

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Question 550658: each spring, the conservation authority stocks the local lake with 10 000 bass and perch. if there were three times as many bass and twice as many perch, the total number of fish would be 22 000. How many of each type of fish make up 10 000?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +b+ = number of bass
Let +p+ = number of perch
given:
(1) +b+%2B+p+=+10000+
(2) +3b+%2B+2p+=+22000+
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Multiply both sides of (1) by 2
and subtract (1) from (2)
(2) +3b+%2B+2p+=+22000+
(1) +-2b+-+2p+=+20000+
+b+=+2000+
and, from (1)
(1) +2000+%2B+p+=+10000+
(1) +p+=+8000+
There are 2,000 bass and 8,000 perch