Question

A scale on a map shows that 2 inches = 25 miles.

Answer 1

Answer: part a is 4.8 and part b is 3.125

Step-by-step explanation:

Answer 2

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.