SOLUTION: when a student subtracts 18 from a number, the result is 1/4 of the number. What is the number?

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Question 667972: when a student subtracts 18 from a number, the result is 1/4 of the number. What is the number?
Answer by Adrianne15(25) About Me  (Show Source):
You can put this solution on YOUR website!
Let the number be x.
Set up equation: x-18=x%2F4
Move eighteen over to begin to isolate x: x=x%2F4%2B18
Multiply all terms on both sides by four (LCD) to get rid of fractions: x%284%29=%28x%2F4%294=18%284%29
Rewrite: 4x=x%2B72
Bring the variable to one side.3x=72
Divide both sides by three to find x: x=24
Therefore, the number is 24.
Test it:
A student subtracts 18 from a number.
x-18
24-18
6
The result is a quarter of the number.
Is 6+=+%281%2F4%29x
Is: 6=24%2F4
6=6
Since right side = left side, x = 24 is correct.