SOLUTION: A pet shop has a total of 22 animals, all cats and. Birds Ther are a total of 60 legs in the pet shop How many birds does the pet shop have?

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Question 559138: A pet shop has a total of 22 animals, all cats and. Birds
Ther are a total of 60 legs in the pet shop
How many birds does the pet shop have?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +c+ = number of cats
Let +b+ = number of birds
given:
(1) +c+%2B+b+=+22+
(2) +4c+%2B+2b+=+60+
Multiply both sides of (1) by +2+,
and subtract (1) from (2)
(2) +4c+%2B+2b+=+60+
(1) +-2c+-+2b+=+-44+
+2c+=+16+
+c+=+8+
and, since
(1) +c+%2B+b+=+22+
(1) +8+%2B+b+=+22+
(1) +b+=+22+-+8+
(1) +b+=+14+
There are 8 cats and 14 birds
check:
(2) +4c+%2B+2b+=+60+
(2) +4%2A8+%2B+2%2A14+=+60+
(2) +32+%2B+28+=+60+
(2) +60+=+60+
OK