Question

Which expression correctly represents “six more than the quotient of three and a number, decreased by eight”?

Answer 1

6 + 3/x - 8

( six more = 6 +)
(The quotient of three and a number = 3/x)
(Decreases by eight = -8)

Answer 2

`((3)/(x)+6)-8`

Explanation:

The given statement is

"Six more than the quotient of three and a number, decreased by eight".

"Six more than" indicates the sum between the quotient and 6.

"The quotient of three and a number" indicates a fraction where the numerator is 3 and the denominator is
`x`, a number.

"Decreased by eight" indicates a subtraction between the quotient an 8 units".

If we unit all parts of the statements, we would have

`((3)/(x)+6)-8`

The parenthesis just indicates the order of the operations as the problem states.