SOLUTION: Four more than the quotient of a number and 3 is 11. I don't get this.

Algebra ->  Equations -> SOLUTION: Four more than the quotient of a number and 3 is 11. I don't get this.      Log On


   

Question 557481: Four more than the quotient of a number and 3 is 11.
I don't get this.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let n be the number you are looking for.
The quotient of a number (that's n) and 3 is expressed by:
n%2F3 but you need four more than that so you just add 4 to get:
n%2F3+%2B+4+=+11 Multiply through by 3 to clear the fraction.
3%2An%2F3+%2B+3%2A4+=+3%2A11 Simplify.
n%2B12+=+33 Subtract 12 from both sides.
n+=+21