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 unknown number as \( x \).
2. Translate 'the quotient of a number and 6' as \( \frac{x}{6} \).
3. Understand that 'subtracted from 9' means 9 minus this quotient, so write \( 9 - \frac{x}{6} \).
4. Set this expression equal to 1, as the sentence says 'is equal to 1', so write \( 9 - \frac{x}{6} = 1 \).
5. This gives the equation that represents the sentence: \( 9 - \frac{x}{6} = 1 \).