Answer/ Step-by-step explanation: Let's break down the information given in the sentence:
"Eight less than the quotient of a number and 3 is 18."
To translate this into an equation, we can follow these steps:
1. Identify the unknown number: Let's represent the unknown number as "x."
2. Determine the quotient of the unknown number and 3: This can be expressed as "x/3."
3. Subtract eight from the quotient: "Eight less than" can be represented as "-8." So, we have "-8" subtracted from "x/3."
4. Set the expression equal to 18: The sentence states that the result is equal to 18, so we can write the equation as:
x/3 - 8 = 18
Therefore, the equation that models the sentence "Eight less than the quotient of a number and 3 is 18" is x/3 - 8 = 18.