SOLUTION: The ratio of cats to dogs on the island is 4 to 7. If a total of 440 cats and dogs live on the island, how many are cats?

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Question 676581: The ratio of cats to dogs on the island is 4 to 7. If a total of 440 cats and dogs live on the island, how many are cats?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
given:
+c%2Fd+=+4%2F7+
+c+%2B+d+=+440+
---------------
+d+=+440+-+c+
By substitution:
+c+%2F+%28+440+-+c+%29+=+4%2F7+
Multiply both sides by +7%2A%28+440+-+c+%29+
+7c+=+4%2A%28+440+-+c+%29+
+7c+=+1760+-+4c+
+11c+=+1760+
+c+=+160+
and
+d+=+440+-+c+
+d+=+440+-+160+
+d+=+280+
check:
+160%2F280+=+4%2F7+
+4%2F7+=+4%2F7+
OK
There are 160 cats