Question

three more than the quotient of a number and 3 is 9.

Explanation:

Step 1: Define the variable

Let the number be \( x \). The quotient of the number and 3 is \( \frac{x}{3} \).

Step 2: Translate the sentence into an equation

"Three more than the quotient of a number and 3 is 9" translates to \( \frac{x}{3}+3 = 9 \).

Step 3: Solve for \( x \)

Subtract 3 from both sides: \( \frac{x}{3}=9 - 3=6 \).
Multiply both sides by 3: \( x = 6\times3 = 18 \).

Answer:

The number is 18.