SOLUTION: How do I solve this problem? The quotient of 6 more than 2 times a number, and the number

Question 647542: How do I solve this problem?
The quotient of 6 more than 2 times a number, and the number
Answer by DrBeeee(684) (Show Source): You can put this solution on YOUR website!
This is not a problem statement. It may be asking you for an algebraic expression that represents the statement. In that case I may be able to help you!
Let n = the number, then your numerator is
(1) 6 + 2*n and the denominator is
(2) n yielding the ratio or quotient
(3) (6+2n)/n
I think your problem is with so called problem statement itself. The quotient is the result of dividing two numbers or expressions, it's a RATIO. So when "they" ask for the quotient they want the ratio of two expressions or numbers. The next catch is how they ask for this ratio, for example is it 7/11 or 11/7?
Read your statement again. They want the quotient (ratio) OF (6+2n), AND the number. Is that (6+2n)/n or is it n/(6+2n)? They're both ratios.
The answer is the first ratio. Here's how it's written,"Find the quotient OF n TO m." Meaning you take the number after the word "OF" as the numerator (or dividend) and the number after the word "TO" as the denominator (or divisor). Note that your statement uses the word "and" instead of the usual word "TO".
So quotient of n to m is n/m.
Very subtle, but very confusing. I hope this helped.
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