Watzandi drives an average of 537 kilometers per month in a vehicle that only gets 15 kilometers per litre overall. With the cost of petrol at $666.09 per litre, approximately how much would she save each year on petrol if she drove a car that got 33 kilometers per litre instead?(Round your final answer to the nearest whole dollar, and don't include the dollar sign in your answer.)
Question
Watzandi drives an average of 537 kilometers per month in a vehicle that only gets 15 kilometers per litre overall. With the cost of petrol at $666.09 per litre, approximately how much would she save each year on petrol if she drove a car that got 33 kilometers per litre instead?(Round your final answer to the nearest whole dollar, and don't include the dollar sign in your answer.)
Solution
Step 1: Calculate how many litres of petrol Watzandi uses per month with her current vehicle.
To do this, divide the total kilometers she drives per month (537 km) by the kilometers per litre her vehicle gets (15 km/l).
537 km ÷ 15 km/l = 35.8 litres
Step 2: Calculate how much Watzandi spends on petrol per month with her current vehicle.
To do this, multiply the litres of petrol she uses per month (35.8 litres) by the cost of petrol ($666.09 per litre).
35.8 litres * 23842.02
Step 3: Calculate how many litres of petrol Watzandi would use per month if she drove a car that got 33 kilometers per litre.
To do this, divide the total kilometers she drives per month (537 km) by the kilometers per litre the new vehicle gets (33 km/l).
537 km ÷ 33 km/l = 16.27 litres
Step 4: Calculate how much Watzandi would spend on petrol per month with the new vehicle.
To do this, multiply the litres of petrol she would use per month (16.27 litres) by the cost of petrol ($666.09 per litre).
16.27 litres * 10838.96
Step 5: Calculate how much Watzandi would save each month if she drove the new vehicle.
To do this, subtract the cost of petrol per month with the new vehicle (23842.02).
10838.96 = $13003.06
Step 6: Calculate how much Watzandi would save each year if she drove the new vehicle.
To do this, multiply the amount she would save each month ($13003.06) by the number of months in a year (12).
156036.72
So, Watzandi would save approximately $156037 per year if she drove a car that got 33 kilometers per litre instead.
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