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" translates to \( x - 5 \).

Step2: Set up the equation

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

Step3: Solve for \( x \)

Multiply both sides of the equation by 6: \( x - 5 = -4\times6 \)
Calculate \( -4\times6 = -24 \), so \( x - 5 = -24 \).
Add 5 to both sides: \( x = -24 + 5 \)
Calculate \( -24 + 5 = -19 \).

Answer:

The number is \(-19\)