Write the following sentence as an equation.
The quotient of a number and $6$ subtracted from $9$ is equal to $1$. Let $x$ be the number.

• A. $\frac{x}{6}-9=1$
• B. $9-\frac{x}{6}=1$
• C. $\frac{x-9}{6}=1$
• D. $\frac{9-x}{6}=1$

Answer: (B)

Verified step by step guidance

1. Identify the variable and the constants in the sentence. Here, let the number be represented by the variable \(x\), and the constants given are 6, 9, and 1.
2. Translate the phrase 'The quotient of a number and 6' into a mathematical expression. The quotient means division, so this becomes \(\frac{x}{6}\).
3. Next, interpret 'subtracted from 9'. This means 9 minus the quotient, so write this as \(9 - \frac{x}{6}\).
4. The sentence says this expression 'is equal to 1', so set up the equation as \(9 - \frac{x}{6} = 1\).
5. This equation correctly represents the sentence: the number divided by 6, subtracted from 9, equals 1.