Math Problem Statement

Your car petrol usage is 9 litres / 100 km. Your tank holds 68 litres. How many tanks of fuel will you use to drive 1500 km?

Solution

To solve the problem in the image, we need to calculate how many full tanks of fuel will be required for a car to drive 1500 km, given the following information:

  • Fuel consumption is 9 litres per 100 km.
  • The car's fuel tank holds 68 litres.

Step 1: Calculate total fuel needed for 1500 km

First, we calculate the total amount of fuel required to travel 1500 km using the car's fuel consumption rate: Fuel consumption=9litres100km\text{Fuel consumption} = \frac{9 \, \text{litres}}{100 \, \text{km}} Fuel required for 1500 km=1500×9100=135litres\text{Fuel required for 1500 km} = 1500 \times \frac{9}{100} = 135 \, \text{litres}

Step 2: Calculate how many full tanks are needed

Now, divide the total fuel required by the capacity of the tank: Number of tanks=135litres68litres per tank1.985tanks\text{Number of tanks} = \frac{135 \, \text{litres}}{68 \, \text{litres per tank}} \approx 1.985 \, \text{tanks}

Step 3: Round to the nearest whole number

Since we need a whole number of tanks, we round 1.985 up to 2.

Thus, you will need 2 full tanks of fuel to drive 1500 km.

Would you like more details on any step or have other questions?

Here are 5 related questions for further practice:

  1. What if the car's consumption was 10 litres per 100 km? How many tanks for 1500 km?
  2. How many litres would be used for a 2000 km drive?
  3. How much distance can be covered with half a tank of fuel?
  4. If the tank size increased to 75 litres, how would that affect the number of tanks?
  5. How many kilometres could you drive with 3 full tanks of fuel?

Tip: Always check units when working with fuel consumption and distances to ensure accurate conversions!

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Math Problem Analysis

Mathematical Concepts

Unit Rate Calculation
Proportions
Division
Rounding

Formulas

Fuel required = (Distance / 100) * Fuel consumption rate
Number of tanks = Total fuel required / Tank capacity

Theorems

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Suitable Grade Level

Grades 6-8