Skip to main content

King's Maths School

Challenge 435: The Sweet Shop

WMC is back after a relaxing summer holiday! Can you help Hattie spend her pocket money?

Hattie Plumber has 100 Goldoons to spend at Marmaduke's Sweet Shop.

Bile Balls cost 1 Goldoon. Salted Slugs cost 3 Goldoons. Toothcrackers cost 7 Goldoons.

(a) In how many ways can Hattie spend all 100 Goldoons?

(b) In how many ways can Hattie spend all 100 Goldoons, if she wants to buy exactly 40 sweets? (For the avoidance of doubt, all the items mentioned above are sweets.)

Submit your solution

Please do send in your solution to this problem to weeklymaths@kcl.ac.uk You can scan or photograph your written work, or type your solutions. If this is your first weekly maths challenge solution, please include your year group and the name of the school you attend. We'll be happy to provide feedback on your solution, assuming that you are in year 11 or below. If you are older than this, we hope you enjoy trying the problems and reviewing your solutions against those we publish on the website.