1 / 26

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.

annis
Download Presentation

Sharing in a Given Ratio

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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?

More Related