Malia and Omar want to find the shortest route from their school to a local burger hangout. The length of Route A is 1.5 times the length of Route B and ¾ the

length of Route C. If Route C is 3 kilometers long, then Route A is how many

kilometers longer than Route B?

Route A is 0.75 km longer than route B.

Step-by-step explanation:

Length of route A is 1.5 times the length of route B.

a = 1.5b

--------(1)

Here, a = Length of route A

b = Length of route B

Length of route A is of route C.

a =

------(2)

Here, c = Length of route C

Length of route C = 3 km

Length of route A = [From equation (2)]

                             = 2.25 km

Length of route B = [From equation (1)]

                             = 1.5 km

Difference in route A and route B = 2.25 - 1.5

                                                       = 0.75 km

Therefore, route A is 0.75 km longer than route B.

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so, converting firstly the mixed fractions to improper fractions and then "adding".