6:7 =n:42
You asked:
Solve \(6 : 7=n : 42\) for the variable \(n\).
MathBot Answer:
$$\begin{aligned}n &= 36\end{aligned}$$
Express both ratios as fractions. \[\frac{6}{7} = \frac{n}{42}\]
Cross-multiply and solve for the unknown. $$\begin{aligned}\frac{6}{7} &= \frac{n}{42} \\ 252 &= 7 n \\ n &&= 36 \end{aligned}$$