Solve the equation and simplify your answer. Check your answer using the original equation. $\frac { 2 } { 5 } n = 8$
A) 20
B) 19
C) -17
D) -20
E) 21

Question

Quizplus · Accepted Answer

To solve the equation, we first multiply both sides by the reciprocal of $\frac{2}{5}$:

$$\begin{aligned} \frac{2}{5}n &= 8 \ \frac{5}{2} \cdot \frac{2}{5}n &= \frac{5}{2} \cdot 8 \ n &= 20 \end{aligned}$$

To check that the solution is correct, we substitute $n=20$ back into the original equation and see if it is true:

$$\frac{2}{5} \cdot 20 = 8$$

$$\frac{40}{5} = 8$$

$$8 = 8 \quad \checkmark$$

Therefore, the answer is $\boxed{	extbf{(A)}\ 20}$.

Solve the Equation and Simplify Your Answer 25n=8\frac { 2 } { 5 } n = 852​n=8