Question

Peter says, "If you subtract 11 from my number and multiply the difference by - 6, the result is – 120." What is Peter's number?

(A) 130
(B) 120
(C) 110
(D) 100

Answer 1

By translating Peter's statement into a mathematical equation and solving for x, we get Peter's number as 31. A possible error in the provided options or calculations might have occurred since 31 is not listed among the choices given.

Step-by-step explanation:

Peter's statement translates into a mathematical equation. Let's define Peter's number as x. According to Peter, if you subtract 11 from his number and multiply the difference by -6, the result will be -120. Formally, this can be written as:

-6 × (x - 11) = -120

To find Peter's number, we need to solve for x:

1. Divide both sides by -6 to get x - 11 = 20.
2. Add 11 to both sides to find x on its own: x = 20 + 11, which simplifies to x = 31.

However, the solution x = 31 is not listed in the given options (A) 130, (B) 120, (C) 110, (D) 100, suggesting there might be a mistake in the calculations or in the provided choices.