Question

Jeremy is driving to a friend's house that is 72 miles away from his home. The scale on Jeremy's map is 1/2 inch is equivalent to 8 miles. How far is it on the map from Jeremy's house to his friend's house?

Answer 1

Jeremy's house is 4.5 inches far from his friend's house on the map

Explanation:

Let us use the ratio method to solve the question

∵ The house of Jeremy's friend is 72 miles away from his home

∴ The actual distance between the two houses is 72 miles

∵ The scale on Jeremy's map is
`(1)/(2)` inch is equivalent to 8 miles

∴ Each
`(1)/(2)` miles on the map represents actual distance 8 miles

By using the ratio method

→ Map length : Actual length

→ inch : miles

→
`(1)/(2)` : 8

→ x : 72

By using cross multiplication

∵ x × 8 =
`(1)/(2)` × 72

∴ 8 x = 36

- Divide both sides by 8

∴ x = 4.5

x represent the distance between the two houses on the map

Jeremy's house is 4.5 inches far from his friend's house on the map