Applying maths to solve problems in the real world…

Splitting the bill

Difficulty: Rating:

GCSE Marks:

GCSE Text: Three families go to dinner at a restaurant. There is a family of 5, a couple of 2 and a family of 3, and the total bill comes to £205.

The bill is to be split between the family of 5, the couple and the family of 3 in the ratio 5:2:3.

a) Calculate the amount that each family has to pay towards the overall bill.

b) If each family round their contribution up to the nearest £10 so that the waiter has a tip, how much will the tip be in total?

Suggestions:
This is a typical GCSE style question on ratio. Whilst students may work this out by trial & error, discussion around ‘how many portions’ normally reminds them as to the process of handling ratio. Also it’s worth asking if they can think of a ‘double-check’ method to see if their answers are correct.

Extension Ideas: Teachers could extend the learning by considering:

The video was actually filmed at a restaurant in Spain, where the bill was actually €205. If the exchange rate at the time was £1 = €1.36, what is each family’s bill in UK currency?