2.4 A large truck uses 16,5 litres of diesel per 100 kilonetres. Calculate how much diesel the truck will need to travel 1284 km .

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To calculate how much diesel the truck will need to travel 1284 km, we can use the given information that the truck uses 16.5 litres of diesel per 100 kilometers.

Let's denote the amount of diesel needed to travel 1284 km as $$ x $$ litres.

Given:
- The truck uses 16.5 litres of diesel per 100 kilometers.

We can set up a proportion to find the amount of diesel needed to travel 1284 km:

$$
\frac{16.5 \text{ litres}}{100 \text{ km}} = \frac{x \text{ litres}}{1284 \text{ km}}
$$

Now, we can solve for $$ x $$ to find the amount of diesel needed to travel 1284 km.
Solve the equation by following steps:
- step0: Solve for $$x$$:
  $$\frac{16.5}{100}=\frac{x}{1284}$$
- step1: Divide the terms:
  $$\frac{33}{200}=\frac{x}{1284}$$
- step2: Swap the sides:
  $$\frac{x}{1284}=\frac{33}{200}$$
- step3: Multiply both sides of the equation by $$1284:$$
  $$\frac{x}{1284}\times 1284=\frac{33}{200}\times 1284$$
- step4: Multiply the terms:
  $$x=\frac{33\times 1284}{200}$$
- step5: Divide the terms:
  $$x=\frac{10593}{50}$$
The truck will need approximately 211.86 litres of diesel to travel 1284 km.
The truck will need approximately 211.86 litres of diesel to travel 1284 km.

2.4 A large truck uses 16,5 litres of diesel per 100 kilonetres. Calculate how much diesel the truck will need to travel 1284 km .

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