Week 228 (15th March 24)

Sam, Emma and Ashton have bought some sweets from the newsagent on their way home from school.  

The number of sweets that Emma has is 6 times the number of sweets that Sam has. 

The number of sweets that Ashton has is half the number of sweets that Emma has.  

What is the ratio of sweets Sam has : Emma has : Ashton has? 

Answer: 

If we assume the number of sweets Sam has is x, then Emma must have 6x sweets as she has 6 times what Sam has.   

If Ashton has half of the number of sweets Emma has then he must have 3x sweets.   

Then we can put those values into the ratio form needed in the question x : 6x : 3x  

All the terms have x in common so we can divide the ratio through by x to give the final ratio of 1 : 6 : 3