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Fred, Tom, Jenny and Sarah pooled their money and purchased a packet of jellybeans. Tom
received twice as many jellybeans as Fred while Sarah received tour less than Tom. Jenny was
given a third of the number of jellybeans that Sarah received. How many jellybeans did each of
the children receive if there were 40 jellybeans in the packet?
Solution
Let Fred has x jellybeans.so tom has 2x , sarah has 2x-4 , jenny has (2x-4)/3 jellybeans.since
they total have 40 jellybeans then
x + 2x + (2x-4) + (2x-4)/3 = 40
=> 3x+4(2x-4)/3=40
=>17x-16=120
=>x=136/17=8
so fred has 8,tom has 16,sarah has 12 & jenny has 4 jellybeans.

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Fred, Tom, Jenny and Sarah pooled their money and purchased a packet .pdf

  • 1. Fred, Tom, Jenny and Sarah pooled their money and purchased a packet of jellybeans. Tom received twice as many jellybeans as Fred while Sarah received tour less than Tom. Jenny was given a third of the number of jellybeans that Sarah received. How many jellybeans did each of the children receive if there were 40 jellybeans in the packet? Solution Let Fred has x jellybeans.so tom has 2x , sarah has 2x-4 , jenny has (2x-4)/3 jellybeans.since they total have 40 jellybeans then x + 2x + (2x-4) + (2x-4)/3 = 40 => 3x+4(2x-4)/3=40 =>17x-16=120 =>x=136/17=8 so fred has 8,tom has 16,sarah has 12 & jenny has 4 jellybeans.