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The fuel consumption for a car is 6.7 litres/100 km - HSC - SSCE Mathematics Standard - Question 18 - 2021 - Paper 1

Question 18

The fuel consumption for a car is 6.7 litres/100 km. On a road trip, the car travels a distance of 1560 km and the fuel cost is $1.45 per litre. What is the total f... show full transcript

Worked Solution & Example Answer:The fuel consumption for a car is 6.7 litres/100 km - HSC - SSCE Mathematics Standard - Question 18 - 2021 - Paper 1

Step 1

Calculate the amount of fuel used

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Answer

To find the total amount of fuel used for the trip, we can use the formula:

ext{Fuel used (litres)} = rac{ ext{Distance (km)} imes ext{Fuel consumption (litres/100 km)}}{100}

Substituting the corresponding values:

ext{Fuel used} = rac{1560 imes 6.7}{100} = 104.52 ext{ litres}

Step 2

Calculate the total fuel cost

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Answer

Now, we can calculate the total fuel cost using the formula:

ext{Fuel cost} = ext{Fuel used} imes ext{Cost per litre}

Substituting the values:

ext{Fuel cost} = 104.52 imes 1.45 = 151.55

Thus, the total fuel cost for the trip is $151.55.

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