Hi, there--

THE PROBLEM:
Find a number which is greater than one-fifth of itself by 12.

A SOLUTION:
Let n be a number.

One-fifth of the number is .

The number is greater than one-fifth of itself by 12, in other words the difference between 
the number and one-fifth of the number is greater than 12. 

We can write n inequality



Solve the inequality. Subtract  from both sides.


Multiply both sides of the inequality by 5/4.




For numbers larger than 15, the number minus one-fifth of that number is more than 15. 

Hope this helps! Feel free to email if you have any questions.

Mrs. Figgy
math.in.the.vortex@gmail.com

Let number be N

Then:  



5N = N + 60 ------ Multiplying by LCD, 5

5N - N = 60

4N = 60

N, or number = , or 

You can do the check!! 



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