This problem solving activity has a number focus.
Each day, from Monday to Friday, Sam, Nikau and Maia were given the same number of lollies. Each day they shared them the same way.
Nikau got twice as many lollies as Sam.
Maia got three times as many lollies as Sam.
If Maia got a total of 18 lollies on Tuesday and Wednesday, how many lollies did Nikau get for the whole five days?
How many lollies would Sam need to get on Saturday if he wanted to have 39 lollies altogether?
In this problem students use logic, number operations and relational (algebraic) thinking as they seek a solution.
This is one of six Number problems: Lollies! and More Lollies, Level 1; Sharing Lollies, Level 2; Lollies, Lollies, Lollies, Level 3; and Still More Lollies, Level 4. At each level, these problems become more algebraic in their focus.
Each day, from Monday to Friday, Sam, Nikau and Maia were given the same number of lollies. Each day they shared them the same way.
Nikau got twice as many lollies as Sam.
Maia got three times as many lollies as Sam.
If Maia got a total of 18 lollies on Tuesday and Wednesday, how many lollies did Nikau get for the whole five days?
How many lollies would Sam need to get on Saturday if he wanted to have 39 lollies altogether?
Maia got 18 in two days, so 9 lollies a day.
Maia got three times as many lollies as Sam, so Sam got 3 lollies a day.
Nikau got 6 (= 2 x 3) lollies per day.
So over a five-day period Sonny got 5 x 6 = 30 lollies.
Sam got 3 lollies a day, so he got 15 from Monday to Friday. 15 + 24 = 39. Sam needs 24 lollies on Saturday.
Printed from https://nzmaths.co.nz/resource/lollies-lollies-lollies at 2:37pm on the 20th April 2024