+0

# percentage

0
693
2
+97

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

Mar 28, 2015

#2
+111437
+10

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

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

Mar 28, 2015

#1
+1068
+10

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Mar 28, 2015
#2
+111437
+10

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 ???

-----------------------------------------------------------------------------------------------------------------------

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

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

CPhill Mar 28, 2015