Word problems

Problem One (CL3)

A class of 24 students is planning a camping trip. The school has tents that fit three people each and backpacks that can be shared one between two students. The teacher wants the class to be split into cooking groups that will be as small as possible so that everyone sharing a tent will be in the same cooking group. Also, each pair of students sharing a backpack will need to be in the same cooking group. How many students will be in each cooking group? Explain how you arrived at your answer.

Problem Two (CL3)

A year 6 class is studying healthy foods and wants to show, at a school assembly, how bad sugary drinks are.

The class has found out that sugar makes up one tenth of the volume of a popular soft drink.

The class plans to ask each of the 600 students in the school to bring in their drink bottles filled with the same amount of water as a 500 mL (half a litre) soft drink bottle holds. This is so that the class can tell the school it is just as well they have water in the bottles because, if they had a soft drink...what a huge lot of sugar they would all be consuming.

They will have on stage, the volume of sugar that would be in all of the drink bottles if they contained the sugary soft drink rather than water. The sugar will be placed in 2 L icecream containers.

How many icecream containers will they need? Link

Problem Three (CL4)

On Monday, Sam, Sonny and Sylvia share some lollies that they've been given.

Sonny was given twice as many lollies as Sam.

Sylvia was given three times as many lollies as Sam.

They are given the same number of lollies each day up to (and including) Friday.

If Sylvia got a total of 18 lollies on Tuesday and Wednesday, how many lollies did Sonny get for the whole five days?

How many lollies would Sam need to get on Saturday if he wanted to have 39 lollies altogether? Link