Can you please help me please with this question

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rleiphart1

22.03.2022

Mathematics

A:
2 inches - 25 miles
x inches - 60 miles

Set up a proportion:
$\frac{2}{25} = \frac{x}{60} \\ \\
\frac{2}{25} \times 60=x \\ \\
\frac{120}{25}=x \\ \\
x=4.8$

4.8 inches on the map represent 60 miles.

B:
2 inches - 25 miles
1/4 inches - x miles

Set up a proportion:
$\frac{2}{25}=\frac{\frac{1}{4}}{x} \\ \\
\frac{2}{25}x=\frac{1}{4} \\ \\
x=\frac{1}{4} \times \frac{25}{2} \\ \\
x=\frac{25}{8} \\ \\
x=3.125$

3.125 miles are represented by 1/4 inches on the map.

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