The focus of this problem is on fractional parts of a set. The problem encourages students to approach fraction operations through number sense and logical thinking rather than through the memorisation of rules.
One third of the animals in the barn are chickens. The rest are pigs. There are 20 legs in all. How many pigs are there?
Write your own barn fraction problem which has 6 as the answer.
Bicycles, tricycles and a number of wheels
Spiders and bugs, and a number of legs
One way to do this problem is to use a table. Before we start though, notice: (1)that if one third of the animals are chickens then two thirds are pigs and (2)since there are a whole number of chickens there must be three times a whole number of animals.
Noticing part (2) has made it possible to get the answer very quickly.
Printed from https://nzmaths.co.nz/resource/legs-barn at 2:28am on the 22nd June 2021