SOLUTION: A group of children share some dougnuts.if each child gets 4 pieces, there will be 2 extra doughnuts. if each child get 5 pieces, there will be 4 doughnuts short. how many doughnut
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Question 844535: A group of children share some dougnuts.if each child gets 4 pieces, there will be 2 extra doughnuts. if each child get 5 pieces, there will be 4 doughnuts short. how many doughnuts are there?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the number of doughnuts
Let = the number of children
----------------------------------
(1) doughnuts/child
(2) doughnuts/child
----------------------------------
(1)
(2)
By substitution:
and
(1)
(1)
(1)
There are 26 doughnuts
check:
(2)
(2)
(2)
(2)
and
(1)
(1)
(1)
(1)
OK
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