Solve each equation for the variable N . $\frac { N } { S } = \frac { T } { S + T }$
A) $N = \frac { S T } { T - S }$
B) $N = \frac { S T } { S - T }$
C) $N = \frac { S T } { S + T }$

Question

Quizplus · Accepted Answer

To solve for N, we can cross-multiply to get:
$$N(S+T) = T \cdot N$$
Then we can divide both sides by (S+T):
$$N = \frac{ T } { S + T } \cdot N $$
Finally, we can divide both sides by $\frac{T}{S+T}$ to get:
$$N = \frac{ S T } { S + T }$$
Therefore, the correct choice is C.

Solve Each Equation for the Variable N NS=TS+T\frac { N } { S } = \frac { T } { S + T }SN​=S+TT​

Solve Each Equation for the Variable N $\frac { N } { S } = \frac { T } { S + T }$