Question

Translate each sentence into an equation. Then solve the equation.

8 less than a number n is 15.
A) n - 8 = 15, n = 23
B) n + 8 = 15, n = 7
C) n - 8 = 15, n = 7
D) n + 8 = 15, n = 23

Answer 1

The correct option is A). The correct translation of the phrase '8 less than a number n is 15' is the equation n - 8 = 15. Upon solving, we find that n = 23. This is confirmed by substituting back into the equation to ensure the solution makes sense.

Step-by-step explanation:

When we translate '8 less than a number n is 15' into an equation, we are looking for a mathematical representation of this sentence. The phrase '8 less than' indicates subtraction, and therefore the correct equation to represent this sentence is n - 8 = 15. To find the value of n, we need to solve the equation by adding 8 to both sides, resulting in n = 23.

The correct choice from the options provided is thus:
A) n - 8 = 15, n = 23

Checking our solution to see if it is reasonable, we substitute 23 back into the equation to confirm that 23 - 8 does indeed equal 15. This result makes sense and confirms that our solution is correct.