Question

The number n is 25 less than 125 percent of itself.

A) n = 0.75n - 25
B) n = 1.25n - 25
C) n = 1.25n + 25
D) n = 0.75n + 25

Answer 1

To solve the equation n = 125% of n - 25, isolate the 'n' term by subtracting '1.25n' from both sides of the equation and solve for 'n' by dividing both sides by -0.25. The correct equation is n = 1.25n - 25, corresponding to option B.

Step-by-step explanation:

The given equation is: n = 125% of n - 25.

To solve for 'n', we can rewrite '125% of n' as '1.25n'. So the equation becomes: n = 1.25n - 25.

Next, we can isolate the 'n' term by subtracting '1.25n' from both sides of the equation:

n - 1.25n = -25

Combining like terms, we get:

-0.25n = -25

Finally, we can solve for 'n' by dividing both sides of the equation by -0.25:

n = -25 / -0.25

n = 100

Therefore, the correct equation is: n = 1.25n - 25, which corresponds to option B.