sharing in a given ratio simon and jenny share the bar of chocolate in the ratio 5 : 3. how many...

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Slide 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. Slide 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. Slide 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. Slide 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. Slide 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. Slide 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. Slide 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 Slide 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? Slide 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? Slide 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? Slide 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? Slide 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? Slide 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? Slide 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? Slide 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? Slide 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 Slide 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. 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 5 x 16 = 80 Check: 48 + 32 = 80 Slide 19 Examples 1/2 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 Simon gets 3 of 72 = 27 Jenny gets 5 8 of 72 = 45 8 parts Check: 27 + 45 = 72 Example Question 2 Snoopy and Hippo share 56 coloured discs in the ratio of 5 : 2. How many do they each receive? Snoopy gets 5 7 of 56 = 40 discs Hippo gets 2 7 of 56 = 16 discs Check: 40 + 16 = 56 7 parts Slide 20 Sharing in a Given Ratio 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 Questions 1 32 16 15 45 64 16 52 39 42 28 45 75 Slide 21 Sharing in a Given Ratio 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? Questions 2 200 ml 150 ml 700 ml 500 ml 90 g 150 g 36 g 84 g 2400 3000 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? 12751445 Slide 22 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? Sharing in a Given Ratio Example Question 3 8 Ollie gets 3 of 64 = 24 cubes 8 Jumbo gets 1 of 64 = 8 cubes 8 Prof gets 4 of 64 = 32 cubes 8 parts Check: 24 + 8 + 32 = 64 Example 3 Slide 23 Example 4 Snoopy, Ollie, Hippo and Jumbo share the coloured counters shown in the ratio 4 : 7 : 3 : 6. How many counters does each receive? Sharing In a Given Ratio Example Question 4 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 Check: 16 + 28 + 12 + 24 = 80 20 parts Slide 24 Sharing in a Given Ratio 1. Alan, Becky and Charlie share 72 sweets in the ratio 2 : 3 : 4. How many sweets do they each receive? Questions 3 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? Alan gets 16 sweetsBecky gets 24 sweetsCharlie gets 32 sweets Paula gets 80Robert gets 100Karl gets 60 Piece 1 = 80 cm Piece 2 = 60 cmPiece 3 = 140 cm Copper = 28 kg Zinc = 21 kgTin = 7 kg Jack gets 80Jenny gets 360Paul gets 160 Kate gets 120 Slide 25 Worksheet 1 Sharing in a Given Ratio 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 Questions 1 Slide 26 Worksheet 2 Sharing in a Given Ratio 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? Questions 2 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? Slide 27 Worksheet 3 Sharing in a Given Ratio 1. Alan, Becky and Charlie share 72 sweets in the ratio 2 : 3 : 4. How many sweets do they each receive? Questions 3 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?