SOLUTION: If three times a number added to 3 is divided by the number plus 11, the result is four thirds. Find the number? HOw do I fo this and what is the answer?

Algebra ->  Rational-functions -> SOLUTION: If three times a number added to 3 is divided by the number plus 11, the result is four thirds. Find the number? HOw do I fo this and what is the answer?      Log On


   

Question 112905:
If three times a number added to 3 is divided by the number plus 11, the result is four thirds. Find the number?
HOw do I fo this and what is the answer?
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
LET X BE THE NUMBER.
(3X+3)/(X+11)=4/3
NOW CROSS MULTIPLY
3(3X+3)=4(X+11)
9X+9=4X+44
9X-4X=44-9
5X=35
X=35/5
X=7 IS THE NUMBER.
PROOF
(3*7+3)/(7+11)=4/3
(21+3)/(18)=4/3
24/18=4/3
18*4=24*3
72=72