Stayin' Stingy
Horace likes to save money whenever he can so when he went swimming with some of his friends, he had a clever idea to use the weighing machine to weigh him and his two friends for only one 10c coin! Once the weighing machine has shown a reading the dial can only go down to a lower weight. So this is what Horace did. He and his two friends sorted themselves out in order of weight (they knew that Horace was the heaviest and that Tim was the lightest), and then followed this plan: Horace and Kate got on the scales. The dial showed 85 kg Tim got on and Kate got off. The dial went down to 75 kg Kate got back on and Horace got off. The dial went down to 60 kg. Find the correct weights of Hungry Horace, Curly Kate and Tiny Tim in order from least to greatest.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
From the question we know: 1) Horace + Kate = 85 2) Horace + Tim = 75 3) Kate + Tim = 60 Steps 1 and 2 tell us that Curly Kate is 10 kg heavier than Tiny Tim. Step 3 therefore tells us that Tim is 25 kg and Kate is 35 kg. Similarly we can work out that Hungry Horace is 15 kg heavier than Curly Kate. So Horace is 50 kg.