Lots of Biscuits!
On Tuesdays Green Class sometimes do baking.
![Lots of Biscuits! Lots of Biscuits!](/sites/default/files/styles/large/public/thumbnails/content-id-6883-Bix1.png?itok=xfWALr-v)
One Tuesday Miss King said that William's group were going to make biscuits. There were four children in the group besides William. They are Ali, Jess, Karni and Danny.
William, Jess, and Karni were going to work together to make biscuits with chocolate chips in them.
Ali and Danny were going to make ginger cookies.
When Miss King took Ali and Danny's tray of biscuits from the oven they looked like this:
![Lots of Biscuits! Lots of Biscuits!](/sites/default/files/styles/large/public/thumbnails/content-id-6883-Bix2.png?itok=8QCM83ur)
How many biscuits did they make?
"Let's share them out!" cried Danny, "There are lots of biscuits! We'll get lots each, won't we?"
If they shared them between just Ali and Danny, how many would they get each?
"What about Will, Jess, and Karni?" objected Ali, "They should get some too."
Just then Miss King took the other tray of biscuits from the oven. They looked like this:
![Lots of Biscuits! Lots of Biscuits!](/sites/default/files/styles/large/public/thumbnails/content-id-6883-bix3.png?itok=5wOcehs9)
How many biscuits did the three of them make?
"Ooh! They smell good!" exclaimed William.
"Can we eat them now?" asked Karni.
"We will have to cut some of them up, if we are going to divide them between us fairly," said Jess thoughtfully.
If they shared them between the three of them, how many would they get each?
Ali looked at both trays. He counted all the biscuits. How many were there altogether?
They decided to share all the biscuits between all five of them. How many did they get each?
"What about Miss King?" Danny asked suddenly. "She might like some biscuits too."
Can they share all the biscuits equally between the five children and Miss King?
How many more biscuits could they bake so that they could share them fairly without cutting any of them up?
Could you find some 'pretend' biscuits to help you with this problem?
Or could you draw a picture?
Finlay from Stalyhill Junior School answered the final part of this problem, which asked how many more biscuits the children would need to bake so that they could share them equally with Miss King too. Finlay said:
They would need to make $4$ more biscuits. They would then get $4$ biscuits each as $24$ divided by $6$ is $4$.
Well done, Finlay. Emerson and Hamish from St Peter's added a bit more detail:
If you add all the biscuits up you get $20$. There are six people so you need to find the multiple of $6$ that is closest to $20$ but that is also above it. The answer is therefore $24$. $24-20=4$ Therefore they need to bake $4$ more biscuits.
Ed from St Peter's sent in answers to all parts of the problem. He said:
Ali and Danny baked $12$ biscuits. If the biscuits were shared between Ali and Danny, they would receive $6$ each.Will, Jess and Karni baked $8$ biscuits. If the biscuits were shared between Will, Jess and Karni they would receive $2 \frac{2}{3}$ each.
There were $20$ biscuits baked all together. If they shared all the biscuits between the $5$ children , each child would receive $4$ bisuits.
Yes, they can share all the biscuits between all the children and Miss King. Each person would receive $3\frac{1}{3}$ biscuits. The children would have to bake $4$ more biscuits to make $24$ in total and therefore each person receiving $4$ biscuits each.
Thank you, Ed. It's a shame you didn't tell us how you worked out this solution.