Question

Mr Chan hires a car in Los Angeles.

The charges are shown below.
Car Hire
$28.00 per day plus $6.50 per day insurance.
$1.25 for every kilometre travelled after the first 800 km.
The first 800 km are included in the price.
Mr Chan hired the car for 12 days and paid $826.50.
(i) Find the number of kilometres Mr Chan travelled in this car.

Answer 1

1130 km

Explanation:

Given:

Total charge = $826.50

number of days = 12 days

Total charge = ($28.00 + $6.50) × number of days + $1.25 × (total - 800) km

$826.50 = ($28.00 + $6.50) × 12 + $1.25 × (total - 800) km

$826.50 = $414.00 + $1.25 × (total - 800) km

$826.50 - $414.00 = $1.25 × (total - 800) km

$412.50 = $1.25 × (total - 800) km

(total - 800) km = $412.50 ÷ $1.25

total = (330 + 800) km

= 1130 km