Asked by Lily K
In my town, 10% of the dogs think they are cats and 10% of the cats think they are dogs. One day I tested all the 160 cats and dogs in the town and found that 20% of them thought they were cats. How many of the 160 animals were cats?
Answers
Answered by
oobleck
32 thought they were cats.
so, assuming that those cats who did not think they were dogs, really are cats, and there are c cats,
0.9c + 0.1(160-c) = 32
c=20.
so there were 140 dogs.
check:
14+18 = 32
so, assuming that those cats who did not think they were dogs, really are cats, and there are c cats,
0.9c + 0.1(160-c) = 32
c=20.
so there were 140 dogs.
check:
14+18 = 32
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