SOLUTION: Eleven less than the quotient of a number and 3 is 18. Find the number.

Algebra ->  Human-and-algebraic-language -> SOLUTION: Eleven less than the quotient of a number and 3 is 18. Find the number.      Log On


   

Question 167042: Eleven less than the quotient of a number and 3 is 18. Find the number.
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Let x=the number
1st condition: eleven less the quotient of number & 3: 11-%28x%2F3%29
2nd condition: equals to 18: 11-%28x%2F3%29=18
continuing,
11-18=x%2F3, combine similar terms
-7=x%2F3, perform operations, then cross multiply
x=3%2A-7
highlight%28x=-21%29
Check via 2nd condition:
11-%28-21%2F3%29=18
11-%28-7%29=18
11%2B7=18, good!
Thank you,
Jojo