Help with math question

Question

So no my bike 5 miles to pages house. On a map, they measure that distance is 5/6 cm. The same map shows that the mall is 3 1/2 cm from pages house. What is the actual distance between pages house and the mall?

Answer 1

5 miles ------- ⁵/₆ cm

30 miles ----- 5 cm

6 miles ------- 1 cm

3 miles ------- 0.5 cm

18 miles ----- 3 cm

21 miles ----- 3.5 cm

or

⁵/₆ / 5 = 3.5 / x

=> ⁵/₆ x = (5) (3.5)

=> x = ⁶/₅ (5) (3.5) = 6(3.5) = 21 miles