SOLUTION: Linda's cat cost 1/3 the amount she paid for her dog. She paid a total of $220 for both. How much did she pay for each pet?

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Question 799776: Linda's cat cost 1/3 the amount she paid for her dog. She paid a total of $220 for both. How much did she pay for each pet?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +c+ = cost of the cat
Let +d+ = cost of the dog
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(1) +c+=+%281%2F3%29%2Ad+
(2) +c+%2B+d+=+220+
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(1) +d+=+3c+
by substitution:
(2) +c+%2B+3c+=+220+
(2) +4c+=+220+
(2) +c+=+55+
and
(1) +d+=+3%2A55+
(1) +d+=+165+
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The cat costs $55
The dog costs $165