Question

the quotient of five less than a number and 6 is -4.

Explanation:

Step1: Define the variable

Let the number be \( x \). "Five less than a number" is \( x - 5 \).

Step2: Translate the sentence into an equation

"The quotient of five less than a number and 6 is -4" translates to \( \frac{x - 5}{6} = -4 \).

Step3: Solve the equation

Multiply both sides by 6: \( x - 5 = -4\times6 \)
\( x - 5 = -24 \)
Add 5 to both sides: \( x = -24 + 5 \)
\( x = -19 \)

Answer:

The number is \(-19\)