n:10=49:70
You asked:
Solve \(n : 10=49 : 70\) for the variable \(n\).
MathBot Answer:
$$\begin{aligned}n &= 7\end{aligned}$$
Express both ratios as fractions. \[\frac{n}{10} = \frac{49}{70}\]
Cross-multiply and solve for the unknown. $$\begin{aligned}\frac{n}{10} &= \frac{49}{70} \\ 70 n &= 490 \\ n &&= 7 \end{aligned}$$