Tantalizer 335: Pocket money
20 October 2021
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From New Scientist #886, 21st February 1974 [link]
Teddy and his brothers have set their hearts on a paint-box, a fire-engine, and a space-gun. So, when they received 20p each for digging the garden recently, each earmarked a different whole number of pennies for each toy. (I mean that each divided his 20p differently, not that no two boys allocated the same number [of pennies] to one toy).
Each, alas, fell far short of the sum needed. But then they had the happy idea of pooling resources. Each had devoted his largest sum to the space-gun which came to 52p in total, and, hooray, the gun cost 52p … Each had earmarked his smallest sum for the paint-box and that total too exactly bought it. Similarly they also had exactly enough for the fire-engine.
If I just add that Teddy’s 3p was the smallest contribution to anything, can you work out the price of the fire-engine?