2:n=3:15
You asked:
Solve \(2 : n=3 : 15\) for the variable \(n\).
MathBot Answer:
$$\begin{aligned}n &= 10\end{aligned}$$
Express both ratios as fractions. \[\frac{2}{n} = \frac{3}{15}\]
Cross-multiply and solve for the unknown. $$\begin{aligned}\frac{2}{n} &= \frac{3}{15} \\ 30 &= 3 n \\ n &&= 10 \end{aligned}$$