(b-3):(2b-5)=2:3
You asked:
Solve \(b - 3 : 2 b - 5=2 : 3\) for the variable \(b\).
MathBot Answer:
$$\begin{aligned}b &= 1\end{aligned}$$
Express both ratios as fractions. \[\frac{b - 3}{2 b - 5} = \frac{2}{3}\]
Cross-multiply and solve for the unknown. $$\begin{aligned}\frac{b - 3}{2 b - 5} &= \frac{2}{3} \\ 3 b - 9 &= 4 b - 10 \\ b &&= 1 \end{aligned}$$