## Heavy Baggage

#### Problem

When travelling by aircraft, passengers have a maximum allowable weight for their luggage. They are then charged £10 for every kilogram overweight. If a passenger carrying 40 kg of luggage is charged £50, how much would a passenger carrying 80 kg be charged?

#### Solution

A £50 charge represents 5 kg overweight (5 £10 = £50).

So 40 5 = 35 kg must be the maximum allowable weight for baggage.

Hence 80 kg is 80 35 = 45 kg overweight and the passenger would be charged 45 × £10 = £450.

Can you find a formula to calculate the charge for a given weight of baggage, `W` kg?

What would your formula produce if `W` = 30 kg?

Problem ID: 116 (May 2003) Difficulty: 1 Star