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Sharing in a Given Ratio

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. Sharing in a Given Ratio.

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Sharing in a Given Ratio

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  1. 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.

  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. 9 15

  8. 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?

  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? 8 28

  17. 3 So Snoopy gets of 80 = 48 pieces 5 2 Hippo gets of 80 = 32 pieces 5 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. Check: 48 + 32 = 80 

  18. 8 parts 2 5 3 Jenny gets Hippo gets of 56 = 16 discs of £72 = £45 Simon gets of £72 = £27 7 8 8 Example Question 2 Snoopy and Hippo share 56 coloured discs in the ratio of 5 : 2. How many do they each receive? 7 parts 5 Snoopy gets of 56 = 40 discs 7 Sharing in a Given Ratio Examples 1/2 Example Question 1 Simon and Jenny share £72 in the ratio of 3 : 5. How much do they each receive? Check: 27 + 45 = 72  Check: 40 + 16 = 56 

  19. Sharing in a Given Ratio Questions 1 1. Share £48 between Alan and Barbara in the ratio 2 : 1 £16 £32 2. Share £60 between Laura and Robert in the ratio 1 : 3 £45 £15 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

  20. Sharing in a Given Ratio Questions 2 1. Share 350 ml of milk between a cat and her kitten in the ratio 4 : 3 150 ml 200 ml 2. Share 1.2 litres of milk between a dog and a cat in the ratio 7 : 5 500 ml 700 ml 3. Share 240 g of sweets between Alison and Stephen in the ratio 3 : 5 150 g 90 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?

  21. Example 3 8 parts 4 3 1 Ollie gets Prof gets of 64 = 24 cubes of 64 = 32 cubes Jumbo gets of 64 = 8 cubes 8 8 8 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? Check: 24 + 8 + 32 = 64 

  22. Example 4 20 parts 4 7 Snoopy gets of 80 = 16 counters Ollie gets of 80 = 28 counters 20 20 3 6 Hippo gets of 80 = 12 counters Jumbo gets of 80 = 24 counters 20 20 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? Check: 16 + 28 + 12 + 24 = 80 

  23. 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? Kate gets 120 Jack gets 80 Jenny gets 360 Paul gets 160

  24. Worksheet 1 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

  25. Worksheet 2 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?

  26. Worksheet 3 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?

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