Dividing Quantities In Given Ratios
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On a scale map is \(1:25000\). If the measured distance between two towns on the map is 12 cm, what is the actual distance between two towns?
\begin{aligned}
\text { Let } M&=\text {map distance } \\
A=&\text { actual distance } \\
\therefore M&: A=1: 25000 \\
12&: A=1: 25000 \\
A&: 12=25000: 1 \\
\frac{A}{12}&=\frac{25000}{1} \\
\therefore A &=25000 \times 12 ~\mathrm{cm} \\
&=300000 \mathrm{~cm} \\
&=3000 \mathrm{~m}\\
&=3 \mathrm{~km}\\
\end{aligned}
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