i. the cost of $7 \frac{1}{2}$ litres of petrol. ii. how many litres of petrol can be bought with $3,500.00
Answer (2)
The cost of 7 2 1 litres of petrol is 7.5 x dollars, where x is the price per litre. The number of litres of petrol that can be purchased with 3 , 500.00 i s \frac{3500}{x} l i t res . T h ese v a l u es d e p e n d o n t h e v a r iab l e x$, the price of one litre of petrol.
;
Assume the price of 1 litre of petrol is x .
Calculate the cost of 7.5 litres of petrol: C os t = 7.5 x .
Calculate the number of litres of petrol that can be bought with $3500 : L i t res = x 3500 .
The cost of 7 2 1 litres of petrol is 7.5 x dollars and the number of litres of petrol that can be bought with $3 , 500.00 is x 3500 litres.
Explanation
Understanding the Problem Let's analyze the problem. We need to find the cost of 7 2 1 litres of petrol and the number of litres of petrol that can be bought with $3 , 500.00 . However, we are missing the price of 1 litre of petrol. Let's assume the price of 1 litre of petrol is $ x .
Setting Objectives Our objective is to find:
The cost of 7 2 1 litres of petrol, which is 7.5 litres.
The number of litres of petrol that can be bought with $3500.00 .
We will express these in terms of x , the price per litre.
Calculations and Results
Cost of 7.5 litres of petrol:
To find the cost, we multiply the number of litres by the price per litre: C os t = 7.5 × x = 7.5 x So, the cost of 7.5 litres of petrol is $7.5 x .
Litres of petrol that can be bought with $3500.00 :
To find the number of litres, we divide the total amount by the price per litre: L i t res = x 3500 So, the number of litres of petrol that can be bought with $3500.00 is x 3500 litres.
Examples with Different Prices Let's consider an example. If the price of 1 litre of petrol is $1.50 , then:
The cost of 7.5 litres is 7.5 × 1.5 = $11.25 .
The number of litres that can be bought with $3500 is 1.5 3500 = 2333.33 litres (approximately).
If the price of 1 litre of petrol is $2.00 , then:
The cost of 7.5 litres is 7.5 × 2 = $15.00 .
The number of litres that can be bought with $3500 is 2 3500 = 1750 litres.
If the price of 1 litre of petrol is $1.00 , then:
The cost of 7.5 litres is 7.5 × 1 = $7.50 .
The number of litres that can be bought with $3500 is 1 3500 = 3500 litres.
Final Answer Therefore:
The cost of 7 2 1 litres of petrol is 7.5 x dollars, where x is the price of 1 litre of petrol.
The number of litres of petrol that can be bought with $3 , 500.00 is x 3500 litres, where x is the price of 1 litre of petrol.
Examples
Understanding how to calculate costs and quantities based on unit prices is essential in everyday life. For instance, when planning a road trip, you can use these calculations to estimate fuel costs. If you know the distance you'll travel, the fuel efficiency of your car, and the price per litre of petrol, you can calculate the total cost of fuel for the trip. Similarly, if you have a fixed budget for fuel, you can determine how many litres you can afford to buy, helping you plan your route and stops accordingly. This kind of calculation is also useful for businesses managing vehicle fleets or logistics, ensuring efficient budgeting and resource allocation.
