This problem solving activity has a number (multiplication and division) focus.
On Monday, Sam, Sonny and Sylvia share some lollies they'd been given.
Sonny got half as many lollies as Sam, and Sylvia got a third as many lollies as Sam got.
They got the same number of lollies each day up to (and including) Friday.
In this problem students apply a range of strategies to solve fraction problems that involve one half and one third.
This is one of six problems: Lollies! and More Lollies, Number, Level 1; Sharing Lollies and Sharing More Lollies, Number, Level 2; Lollies, Lollies, Lollies, Number, Level 3; and Still More Lollies, Algebra, Level 4. These become increasingly algebraic at each level.
On Monday, Sam, Sonny and Sylvia share some lollies they'd been given. Sonny got half as many lollies as Sam, and Sylvia got a third as many lollies as Sam got. They got the same number of lollies each day up to (and including) Friday.
Sonny gets half as many lollies as Sam. So Sam gets twice as many lollies as Sonny. Sonny got 9 lollies, so Sam got 18.
Sylvia gets one third of Sam’s number (18). This is 6.
On any four days Sylvia will get 6 + 6 + 6 + 6 = 24. On any two days, Sonny will get 9 + 9 = 18. Since 24 > 18, then Sylvia gets more than Sonny.
Sam got 18 lollies on Friday. Sonny gets 9 lollies a day. On two days Sonny gets 9 + 9 = 18 which equals the number of lollies that Sam got on Friday. Over three days, Sonny gets 27 lollies. Since 27 > 18, then it takes Sonny 3 days to get more lollies than Sam.
Printed from https://meaningfulmaths.nt.edu.au/mmws/nz/resource/sharing-more-lollies at 8:55pm on the 26th February 2024