SOLUTION: Sixty more than a number divided by three is equal to eighty-four more than the same number divided by fifteen. What is the number? Show all work!

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Question 3318: Sixty more than a number divided by three is equal to eighty-four more than the same number divided by fifteen. What is the number? Show all work!
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
define something first...

Let x be the "number"

so, write down the English version as maths...

%28%28x%2B60%29%2F3%29+=+%28%28x%2B84%29%2F15%29

Now just re-arrange and solve, as: %2815%28x%2B60%29%2F3%29+=+x%2B84

5%28x%2B60%29+=+x%2B84
5x%2B300+=+x%2B84
4x+300 = 84
4x = -216
x = -54

jon