Taxi Fare: Solution

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money.In Beltenup, taxi drivers charge $1 flag fall once you get in the car. Then they charge you $2 for each kilometre you travel. How far can you go if you and your friends have just $23 between you?

Solution

There are lots of ways of doing this. Let’s use a table.  The top row shows the number of kilometres travelled and the bottom row shows the cost.

km
0
1
2
3
4
5
6
7
8
9
10
11
$
1
3
5
7
9
11
13
15
17
19
21
23

So the friends can travel for 11 km in the taxi.

We could also solve this problem by skip counting.  Remember that you have to pay 1 dollar before you go any distance, so then you can skip count in 2s from there "3, 5, 7, 9, ..."  If you keep track of how many numbers you count to get to $23 you will find that the answer is 11.

You may also know that 11 x 2 = 22.  So if it costs $2 per kilometer, then it will cost $22 to go 11 kilometres.  Adding on the $1 flag fall uses up all of your $23.

Extension

How far could I travel in a Beltenup taxi if I had $40?