7:n = 28:40
You asked:
Solve \(7 : n=28 : 40\) for the variable \(n\).
MathBot Answer:
$$\begin{aligned}n &= 10\end{aligned}$$
Express both ratios as fractions. \[\frac{7}{n} = \frac{28}{40}\]
Cross-multiply and solve for the unknown. $$\begin{aligned}\frac{7}{n} &= \frac{28}{40} \\ 280 &= 28 n \\ n &&= 10 \end{aligned}$$