8:10=x:50
You asked:
Solve \(8 : 10=x : 50\) for the variable \(x\).
MathBot Answer:
$$\begin{aligned}x &= 40\end{aligned}$$
Express both ratios as fractions. \[\frac{8}{10} = \frac{x}{50}\]
Cross-multiply and solve for the unknown. $$\begin{aligned}\frac{8}{10} &= \frac{x}{50} \\ 400 &= 10 x \\ x &&= 40 \end{aligned}$$