Adam, Ben, Cathy and Dana share some lollies. First Adam takes 3/5 of the lollies, then Ben takes 1/4 of the remainder, and then Cath takes1/3 of what is left. Dana gets all the rest. What fraction of the original number of lollies does Dana get
Adam, Ben, Cathy and Dana share some lollies. First Adam takes 3/5 of the lollies, then Ben takes 1/4 of the remainder, and then Cath takes1/3 of what is left. Dana gets all the rest. What fraction of the original number of lollies does Dana get ???
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After Adam takes 3/5 of them there are 2/5 left
Ben takes 1/4 of these, so that means that there are (3/4)(2/5) left = 6/20 = 3/10 left
Cath takes 1/3 of these, so there are (2/3)(3/10) l= 2/10 left for Dana
Check
Adam gets 3/5 = 6/10
Ben gets (1/4)(2/5) = 1/10
Cath gets (1/3)(3/10) = 1/10
Dana gets 2/10
And these all sum to 1
Adam, Ben, Cathy and Dana share some lollies. First Adam takes 3/5 of the lollies, then Ben takes 1/4 of the remainder, and then Cath takes1/3 of what is left. Dana gets all the rest. What fraction of the original number of lollies does Dana get ???
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After Adam takes 3/5 of them there are 2/5 left
Ben takes 1/4 of these, so that means that there are (3/4)(2/5) left = 6/20 = 3/10 left
Cath takes 1/3 of these, so there are (2/3)(3/10) l= 2/10 left for Dana
Check
Adam gets 3/5 = 6/10
Ben gets (1/4)(2/5) = 1/10
Cath gets (1/3)(3/10) = 1/10
Dana gets 2/10
And these all sum to 1