Wiggly conversions
Weekly Problem 42 - 2011
Four wiggles equal three woggles. Two woggles equal five waggles. Six waggles equal one wuggle. Using these, can you work out which of four values is the smallest?
Four wiggles equal three woggles. Two woggles equal five waggles. Six waggles equal one wuggle. Using these, can you work out which of four values is the smallest?
Age
11 to 14
Challenge level
Problem
Four wiggles are the same as three woggles; two woggles are the same as five waggles, and six waggles are the same as one wuggle. Which is the smallest:
1 wuggle, 2 woggles, 3 waggles or 4 wiggles, or is there more than one with the same value?
If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.
Student Solutions
1 wuggle = 6 waggles;
2 woggles = 5 waggles;
4 wiggles = 3 woggles = 7.5 waggles.
All are therefore greater than 3 waggles.