Applying maths to solve problems in the real world…

Weighing Luggage

Difficulty: Rating:

GCSE Marks:

GCSE Text: The luggage limit for a ‘SleepyJet’ flight is 20kg for a large bag that goes in the hold, and 10kg for a cabin bag (called hand luggage). When weighing his bags before leaving for the airport, Charlie sees the following readings:

a) What is the exact weight of Charlie’s large bag?

b) What is the exact weight of Charlie’s small bag?

c) If Charlie bought extra clothes whilst on holiday, what would be the maximum weight (kg) of clothes that he could fit into his bags without them going over the limit?

Suggestions:
A simple and practical example of reading analogue scales. Students should be able to count the number of marks between the numbers on the scales, and then work out what the major and minor marks are worth. Common mistakes are rushing and not carefully counting. A second video is available which is easier for students who struggle with a bag being over the limit.

Extension Ideas: Teachers could extend the learning by considering:

What is the average (or mean) weight of the two bags?

An option is available for a second hold bag for £35, and this has a 30kg limit. What would be the total carrying capacity for Charlie if he paid the extra?