Question

Eight less than the quotient of a number and 3 is 18. Which equation models this sentence?

a. 8 - {n}/{3} = 18
b. n + (3 - 8) = 18
c. 8 - n + 3 = 18
d. 8 = 0 - 3 = 18

Answer 1

The equation that models the sentence 'Eight less than the quotient of a number and 3 is 18' is: a. 8 - (n/3) = 18. To solve this equation, you need to isolate the variable 'n'. The solution is n = 30.

Step-by-step explanation:

The equation that models the sentence 'Eight less than the quotient of a number and 3 is 18' is:

a. 8 - (n/3) = 18

To solve this equation, you need to isolate the variable 'n'. Start by getting rid of the '8' on the left side of the equation by subtracting it from both sides:

8 - (n/3) - 8 = 18 - 8

Next, simplify the equation:

(n/3) = 10

To solve for 'n', multiply both sides of the equation by 3 to cancel out the fraction:

n = 30

Therefore, the solution to the equation is n = 30.