20:n = 8:50
You asked:
Solve \(20 : n=8 : 50\) for the variable \(n\).
MathBot Answer:
$$\begin{aligned}n &= 125\end{aligned}$$
Express both ratios as fractions. \[\frac{20}{n} = \frac{8}{50}\]
Cross-multiply and solve for the unknown. $$\begin{aligned}\frac{20}{n} &= \frac{8}{50} \\ 1000 &= 8 n \\ n &&= 125 \end{aligned}$$