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2. Sharing in a Given Ratio
Simon and Jenny share the bar of chocolate in the ratio 5 : 3. How many pieces do they each receive?
This means that for every 5 pieces that Simon gets, Jenny gets 3.
We could share the 24 pieces between them until we run out of chocolate.

3. Sharing in a Given Ratio
Simon and Jenny share the bar of chocolate in the ratio 5 : 3. How many pieces do they each receive?
This means that for every 5 pieces that Simon gets, Jenny gets 3.
We could share the 24 pieces between them until we run out of chocolate.

4. Sharing in a Given Ratio
Simon and Jenny share the bar of chocolate in the ratio 5 : 3. How many pieces do they each receive?
This means that for every 5 pieces that Simon gets, Jenny gets 3.
We could share the 24 pieces between them until we run out of chocolate.

5. Sharing in a Given Ratio
Simon and Jenny share the bar of chocolate in the ratio 5 : 3. How many pieces do they each receive?
This means that for every 5 pieces that Simon gets, Jenny gets 3.
We could share the 24 pieces between them until we run out of chocolate.

6. Sharing in a Given Ratio
Simon and Jenny share the bar of chocolate in the ratio 5 : 3. How many pieces do they each receive?
This means that for every 5 pieces that Simon gets, Jenny gets 3.
We could share the 24 pieces between them until we run out of chocolate.

7. Sharing in a Given Ratio
Simon and Jenny share the bar of chocolate in the ratio 5 : 3. How many pieces do they each receive?
This means that for every 5 pieces that Simon gets, Jenny gets 3.
We could share the 24 pieces between them until we run out of chocolate.

8. Sharing in a Given Ratio
Simon and Jenny share the bar of chocolate in the ratio 5 : 3. How many pieces do they each receive?
This means that for every 5 pieces that Simon gets, Jenny gets 3.
We could share the 24 pieces between them until we run out of chocolate. 15 9

9. Sharing in a Given Ratio
Use this method to share the bar of chocolate below between Snoopy and Hippo in the ratio 2 : 7. How many pieces do they each receive?

10. Sharing in a Given Ratio
Use this method to share the bar of chocolate below between Snoopy and Hippo in the ratio 2 : 7. How many pieces do they each receive?

11. Sharing in a Given Ratio
Use this method to share the bar of chocolate below between Snoopy and Hippo in the ratio 2 : 7. How many pieces do they each receive?

12. Sharing in a Given Ratio
Use this method to share the bar of chocolate below between Snoopy and Hippo in the ratio 2 : 7. How many pieces do they each receive?

13. Sharing in a Given Ratio
Use this method to share the bar of chocolate below between Snoopy and Hippo in the ratio 2 : 7. How many pieces do they each receive?

14. Sharing in a Given Ratio
Use this method to share the bar of chocolate below between Snoopy and Hippo in the ratio 2 : 7. How many pieces do they each receive?

15. Sharing In a Given Ratio
Use this method to share the bar of chocolate below between Snoopy and Hippo in the ratio 2 : 7. How many pieces do they each receive?

16. Sharing in a Given Ratio
Use this method to share the bar of chocolate below between Snoopy and Hippo in the ratio 2 : 7. How many pieces do they each receive?

17. Sharing in a Given Ratio
Use this method to share the bar of chocolate below between Snoopy and Hippo in the ratio 2 : 7. How many pieces do they each receive? 8 28

18. Sharing in a Given Ratio
Discuss the problem of using this method if Snoopy and Hippo had to share (the very nice) bar of chocolate below in the ratio 3 : 2.
5 x 16 = 80
So this method is not efficient when the quantity to be shared is large and/or the ratios are small. A more efficient method is desirable.
This can be achieved by considering what proportion/fraction of the whole bar they will each receive. In this example we can think of the bar as being divided into 5 parts.
Snoopy will get 3 out of 5 parts and Hippo will get 2 out 5 parts.
So Snoopy gets 3 5
of 80 = 48 pieces
Hippo gets 2 5
of 80 = 32 pieces
Check: = 80 

19. Sharing in a Given Ratio
Example Question 1
Simon and Jenny share £72 in the ratio of 3 : 5. How much do they each receive?
8 parts 8
Simon gets 3
of £72 = £27
Jenny gets 5 8
of £72 = £45
Check: = 72 
Example Question 2
Snoopy and Hippo share 56 coloured discs in the ratio of 5 : 2. How many do they each receive?
7 parts
Snoopy gets 5 7
of 56 = 40 discs
Hippo gets 2 7
of 56 = 16 discs
Check: = 56 
Examples 1/2

20. Sharing in a Given Ratio
Questions 1
1. Share £48 between Alan and Barbara in the ratio 2 : 1
£32
£16
2. Share £60 between Laura and Robert in the ratio 1 : 3
£15
£45
3. Share 80 marbles between Stuart and Carl in the ratio 4 : 1 64 16
4. Share 91 sweets between Peter and Becky in the ratio 4 : 3 52 39
5. Share 70 coloured beads between Janet and Christine in the ratio 3 : 2 42 28
6. Share £120 between Carly and Paul in the ratio 3 : 5
£45
£75

21. Sharing in a Given Ratio
Questions 2
1. Share 350 ml of milk between a cat and her kitten in the ratio 4 : 3
200 ml
150 ml
2. Share 1.2 litres of milk between a dog and a cat in the ratio 7 : 5
700 ml
500 ml
3. Share 240 g of sweets between Alison and Stephen in the ratio 3 : 5
90 g
150 g
4. Share 120 g of cereal between Stuart and Julie in the ratio 3 : 7
36 g
84 g
£2400
£3000
5. Paul is 12 and Gemma is 15. They share a £5400 inheritance from their aunty in the ratio of their ages. How much do they each receive?
£1275
£1445
6. John scored 15 points and Fiona scored 17 points in a TV quiz show. They shared the prize money of £2720 in ratio of points scored How much did they each receive?

22. Sharing in a Given Ratio
Example Question 3
Ollie, Jumbo and Prof break the large cube into individual small cubes and share them in the ratio 3 : 1 : 4. How many does each receive?
8 parts 8
Ollie gets 3
of 64 = 24 cubes 8
Jumbo gets 1
of 64 = 8 cubes 8
Prof gets 4
of 64 = 32 cubes
Example 3
Check: = 64 

23. Sharing In a Given Ratio
Example Question 4
Snoopy, Ollie, Hippo and Jumbo share the coloured counters shown in the ratio 4 : 7 : 3 : 6. How many counters does each receive?
20 parts 20
Snoopy gets 4
of 80 = 16 counters 20
Ollie gets 7
of 80 = 28 counters 20
Hippo gets 3
of 80 = 12 counters 20
Jumbo gets 6
of 80 = 24 counters
Example 4
Check: = 80 

24. Sharing in a Given Ratio
Questions 3
1. Alan, Becky and Charlie share 72 sweets in the ratio 2 : 3 : 4. How many sweets do they each receive?
Alan gets 16 sweets
Becky gets 24 sweets
Charlie gets 32 sweets
2. Paula, Robert and Karl share £240 in the ratio 4 : 5 : 3. How much money do they each receive?
Paula gets £80
Robert gets £100
Karl gets £60
3. A piece of wood 2.8 m long, is cut into 3 pieces in the ratio 4 : 3 : 7. Find the length of each piece.
Piece 1 = 80 cm
Piece 2 = 60 cm
Piece 3 = 140 cm
4. A metal alloy block of mass 56 kg consists of copper, zinc and tin in the ratio 4 : 3 : 1. Find the mass of each metal.
Copper = 28 kg
Zinc = 21 kg
Tin = 7 kg
5. Jack, Jenny, Paul and Kate share 720 marbles in the ratio 2 : 9 : 4 : 3. How much does each receive?
Jack gets 80
Jenny gets 360
Paul gets 160
Kate gets 120

25. Sharing in a Given Ratio
Questions 1
1. Share £48 between Alan and Barbara in the ratio 2 : 1
2. Share £60 between Laura and Robert in the ratio 1 : 3
3. Share 80 marbles between Stuart and Carl in the ratio 4 : 1
4. Share 91 sweets between Peter and Becky in the ratio 4 : 3
5. Share 70 coloured beads between Janet and Christine in the ratio 3 : 2
6. Share £120 between Carly and Paul in the ratio 3 : 5
Worksheet 1

26. Sharing in a Given Ratio
Questions 2
1. Share 350 ml of milk between a cat and her kitten in the ratio 4 : 3
2. Share 1.2 litres of milk between a dog and a cat in the ratio 7 : 5
3. Share 240 g of sweets between Alison and Stephen in the ratio 3 : 5
4. Share 120 g of cereal between Stuart and Julie in the ratio 3 : 7
5. Paul is 12 and Gemma is 15. They share a £5400 inheritance from their aunty in the ratio of their ages. How much do they each receive?
6. John scored 15 points and Fiona scored 17 points in a TV quiz show. They shared the prize money of £2720 in ratio of points scored How much did they each receive?
Worksheet 2

27. Sharing in a Given Ratio
Questions 3
1. Alan, Becky and Charlie share 72 sweets in the ratio 2 : 3 : 4. How many sweets do they each receive?
2. Paula, Robert and Karl share £240 in the ratio 4 : 5 : 3. How much money do they each receive?
3. A piece of wood 2.8 m long, is cut into 3 pieces in the ratio 4 : 3 : 7. Find the length of each piece.
4. A metal alloy block of mass 56 kg consists of copper, zinc and tin in the ratio 4 : 3 : 1. Find the mass of each metal.
5. Jack, Jenny, Paul and Kate share 720 marbles in the ratio 2 : 9 : 4 : 3. How much does each receive?
Worksheet 3