Three Fruits Poster
Three Fruits Poster
Age
11 to 14
Challenge level
Problem
This poster is based on the problem Three Fruits.
The poster is available as a PDF, or the image below can be clicked on to enlarge it.
Student Solutions
Answer: Quince, quonce, quance
7 quince weigh the same as 4 quance, so a quince weighs less than a quance. [1]
5 quance weigh the same as 6 quonce, so a quonce weighs less than a quance. [2]
So quance are the heaviest.
20 quance must weigh the same as 35 quince (from [1])
20 quance must weigh the same as 24 quonce (from [2])
So 35 quince weigh the same as 24 quonce, so a quonce weighs more than a quince.
So quince is the lightest, and quance is the heaviest.