2014 CEMC Gauss (Grade 8) Problems/Problem 6

Problem

The value of $y$ that satisfies the equation $5y - 100 = 125$ is

$\text{ (A) }\ 45\qquad\text{ (B) }\ 100\qquad\text{ (C) }\ 25\qquad\text{ (D) }\ -25\qquad\text{ (E) }\ -5$

$5y - 100 = 125$

Adding $100$ to both sides, we get:

$5y = 225$

$y = \boxed {\textbf {(A) } 45}$

~anabel.disher

$5y - 100 = 125$

All of the terms as well as the coefficient of $y$ is divisible by $5$ . Dividing both sides by $5$ , we get:

$y - 20 = 25$

$y = \boxed {\textbf {(A) } 45}$

~anabel.disher