A train journey is approximately 150 miles. How many centimetres will it be on a map with a scale of 30 miles = 1 cm?

Explanation:

The jump from 30 miles to 150 miles is "times 5", meaning 30*5 = 150.

So we need to multiply both sides of the equation

30 miles = 1 cm

by 5 and we get

5*(30 miles) = 5*(1 cm)

150 miles = 5 cm

Another way to solve:

This involves proportions

Let x be the distance on the paper map that corresponds to 150 miles

(150 miles)/(x cm) = (30 miles)/(1 cm)

150/x = 30/1

150*1 = x*30 cross multiply

150 = 30x

30x = 150

30x/30 = 150/30 ... divide both sides by 30

x = 5 cm is the distance on the paper map

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^

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