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Most of fuel is on the increase. It has been reported that the price may increase by . Use the information below to calculate how much more would have to be added to the budget to cover the cost of a increase in fuel.The one-way distance from Auckland Girls' Grammar School to the Tongariro Alpine crossing is .The current fuel prices are per litre.The school van uses . litres of petrol per .Auckland Girls' Grammar School has decided to take students and staff for the camp.Each school van can fit a maximum of ten people.
Full solution
Q. Most of fuel is on the increase. It has been reported that the price may increase by . Use the information below to calculate how much more would have to be added to the budget to cover the cost of a increase in fuel.The one-way distance from Auckland Girls' Grammar School to the Tongariro Alpine crossing is .The current fuel prices are per litre.The school van uses . litres of petrol per .Auckland Girls' Grammar School has decided to take students and staff for the camp.Each school van can fit a maximum of ten people.
- Calculate Total Distance: First, calculate the total distance for a round trip from Auckland Girls' Grammar School to the Tongariro Alpine crossing.Total distance = one-way distanceTotal distance = Total distance =
- Calculate Fuel Needed: Next, calculate the total amount of fuel needed for the round trip.Fuel needed per km = litresTotal fuel needed = (Total distance / km) * Fuel needed per kmTotal fuel needed = ( km / km) * litresTotal fuel needed = litresTotal fuel needed = litres
- Calculate Current Cost: Now, calculate the current total cost of fuel for the round trip.Current fuel price = \$\(2\).\(80\) per litre\(\newline\)Total cost of fuel = Total fuel needed \(\times\) Current fuel price\(\newline\)Total cost of fuel = \(49.68\) litres \(\times\) \$\(2.80\)\(\newline\)Total cost of fuel = \$\(139.104\)
- Calculate Price Increase: Calculate the increased cost of fuel after a \(17\)% price increase.\(\newline\)Percentage increase = \(17\%\)\(\newline\)Increased fuel price = Current fuel price \(\times (1 + \text{Percentage increase})\)\(\newline\)Increased fuel price = \((\$2.80) \times (1 + 0.17)\)\(\newline\)Increased fuel price = \((\$2.80) \times 1.17\)\(\newline\)Increased fuel price = \((\$3.276)\)
- Calculate Cost After Increase: Calculate the total cost of fuel after the price increase.\(\newline\)Total cost after increase = Total fuel needed \(\times\) Increased fuel price\(\newline\)Total cost after increase = \(49.68\) litres \(\times\) \(\$3.276\)\(\newline\)Total cost after increase = \(\$162.7968\)
- Calculate Additional Cost: Finally, calculate how much more needs to be added to the budget to cover the increased fuel cost.\(\newline\)Additional cost = Total cost after increase - Total cost of fuel\(\newline\)Additional cost = \(\$162.7968\) - \(\$139.104\)\(\newline\)Additional cost = \(\$23.6928\)
