T Madas Divide 12 in the ratio of

© T Madas

Divide 12 in the ratio of 3 : 1 3: 1 6: 2 9: 3 9 (4) (8) (12) 3 © T Madas

Divide £ 20 in the ratio of 2 : 3 2 4 6 8 £ 8 : : 3 6 9 12 (£ 5) (£ 10) (£ 15) (£ 20) £ 12 © T Madas

In 10 MA there are 48 pupils. For every 5 boys there are 3 girls. How many boys and how many girls in this class? 5 : 3 5: 3 10 : 6 15 : 9 20 : 12 25 : 15 30 : 18 30 (8) (16) (24) (32) (40) (48) 18 © T Madas

© T Madas

Divide £ 20 in the ratio 2 : 3 …for every £ 2 we give to A we must give £ 3 to B… 4 4 4 2 parts : 3 parts 5 parts = £ 20 1 part = £ 20 ÷ 5 = £ 4 2 parts = £ 4 x 2 = £ 8 3 parts = £ 4 x 3 = £ 12 © T Madas

Divide £ 40 in the ratio 5 : 3 …for every £ 5 we give to A we must give £ 3 to B… 5 5 5 5 5 parts : 3 parts 8 parts = £ 40 1 part = £ 40 ÷ 8 = £ 5 5 parts = £ 5 x 5 = £ 25 3 parts = £ 5 x 3 = £ 15 © T Madas

Divide 56 in the ratio 4 : 3 …for every 4 we give to A we must give 3 to B… 8 8 8 8 4 parts : 3 parts 7 parts = £ 56 1 part = £ 56 ÷ 7 = 8 4 parts = 4 x 8 = 32 3 parts = 3 x 8 = 24 © T Madas

A club has 120 000 members and the ratio of male to female members is 3 : 2. How many members are male and how many are female? …for every 3 men we have 2 women… 24000 24000 3 parts : 2 parts 5 parts = 120 000 1 part = 120 000 ÷ 5 = 24 000 3 parts = 24 000 x 3 = 72 000 2 parts = 24 000 x 2 = 48 000 © T Madas

© T Madas

Divide £ 30 in the ratio 2 : 3 …for every £ 2 we give to A we must give £ 3 to B… 1 st Method 2: 3 4: 6 6: 9 8 : 12 10 : 15 12 : 18 (£ 5) (£ 10) (£ 15) (£ 20) (£ 25) (£ 30) The share is £ 12 and £ 18 2 nd Method 2 parts : 3 parts 5 parts = £ 30 1 part = £ 30 ÷ 5 = £ 6 2 parts = £ 6 x 2 = £ 12 3 parts = £ 6 x 3 = £ 18 © T Madas

Divide £ 24 in the ratio 1 : 3 …for every £ 1 we give to A we must give £ 3 to B… 1 st Method 1: 3 2: 6 3: 9 4 : 12 5 : 15 6 : 18 (£ 4) (£ 8) (£ 12) (£ 16) (£ 20) (£ 24) The share is £ 6 and £ 18 2 nd Method 1 part : 3 parts 4 parts = £ 24 1 part = £ 24 ÷ 4 = £ 6 1 part = £ 6 x 1 = £ 6 3 parts = £ 6 x 3 = £ 18 © T Madas

Divide 42 in the ratio 2 : 5 …for every 2 we give to A we must give 5 to B… 1 st Method 2: 5 4 : 10 6 : 15 8 : 20 10 : 25 12 : 30 (7) (14) (21) (28) (35) (42) The split is 12 and 30 2 nd Method 2 parts : 5 parts 7 parts = 42 1 part = 42 ÷ 7 = 6 2 parts = 6 x 2 = 12 5 parts = 6 x 5 = 30 © T Madas

Split 36 in the ratio 4 : 5 …for every 4 we give to A we must give 5 to B… 1 st Method 4 8 12 16 : : 5 10 15 20 2 nd Method (9) (18) 4 parts : 5 parts (27) (36) 9 parts The split is 16 and 20 9 parts = 36 1 part = 36 ÷ 9 = 4 4 parts = 4 x 4 = 16 5 parts = 4 x 5 = 20 © T Madas

Split 35 in the ratio 3 : 7 …for every 3 we give to A we must give 7 to B… 1 st Method 3 6 9 12 : : 7 14 21 28 (10) (20) We only have 35, and the total jumped from 30 to 40 (30) (40) 35 is halfway between 30 and 40 • the 1 st share must be between 9 and 12 • the 2 nd share between 21 and 28 The split will be 10. 5 and 24. 5 © T Madas

Split 35 in the ratio 3 : 7 …for every 3 we give to A we must give 7 to B… 1 st Method 3 6 9 12 : : 7 14 21 28 (10) (20) (30) (40) The split will be 10. 5 and 24. 5 2 nd Method 3 parts : 7 parts 10 parts = 35 1 part = 35 ÷ 10 = 3. 5 3 parts = 3. 5 x 3 = 10. 5 7 parts = 3. 5 x 7 = 24. 5 © T Madas

Split 60 in the ratio 4 : 5 : 6 …for every 4 we give to A we must give 5 to B and 6 to C… 1 st Method 4: 5: 6 8 : 10 : 12 12 : 15 : 18 16 : 20 : 24 2 nd Method (15) (20) (45) (60) The split will be 16, 20 and 24 4 parts : 5 parts : 6 parts 15 parts = 60 1 part = 60 ÷ 15 = 4 4 parts = 4 x 4 = 16 5 parts = 4 x 5 = 20 6 parts = 4 x 6 = 24 © T Madas

© T Madas

Split 144 in the ratio 0. 2 : 0. 25 …for every 0. 2 we give to A we must give 0. 25 to B… 0. 2 : 0. 25 20 : 25 4: 5 4 parts : 5 parts (x 100) (÷ 5) 9 parts = 144 1 part = 144 ÷ 9 = 16 4 parts = 16 x 4 = 64 5 parts = 16 x 5 = 80 The split is 64 and 80 © T Madas

1 1 1 Split 122 in the ratio 1 : 2 : 3 : 5 1: 30 x 30 1 x 15: 1 x 10: 1 x 6 2 x 15 3 x 10 5 x 6 15 : 10 : 6 30 30 30 x 30 30 : 15 : 10 : 6 61 parts = 122 1 part = 122 ÷ 61 = 2 30 parts = 2 x 30 = 60 15 parts = 2 x 15 = 30 10 parts = 2 x 10 = 20 6 parts = 2 x 6 = 12 The split will be 61 parts 60, 30, 20 and 12 © T Madas

Divide the following numbers in the ratio given 1. 16 at 3: 1 10. 18 at 1: 2: 3 2. 20 at 2: 3 11. 28 at 4: 2: 1 3. 15 at 2: 1 12. 36 at 2: 3: 4 4. 24 at 3: 5 13. 55 at 2: 4: 5 5. 20 at 1: 4 14. 60 at 2: 3: 5 6. 30 at 2: 3 15. 70 at 1. 5: 2 7. 36 at 4: 5 16. 80 at 1. 5: 2. 5 8. 40 at 5: 3 17. 70 at 0. 5: 0. 75 9. 48 at 5: 11 18. 60 at 1. 2: 1. 8 © T Madas

© T Madas

A shop has a closing down sale of jackets and pairs of trousers. The jackets and pairs of trousers are in the ratio of 4 : 9 and there is a total of 182 articles in the sale. A jacket sells for £ 20 and a pair of trousers sells for £ 8. a) b) c) Find the number of jackets in the sale. Calculate the amount of money earned from the sale of jackets and the amount earned from the sale of the pairs of trousers. Calculate the ratio of the amounts of part (b), giving your answer as £ from jackets : £ from trousers in its simplest form. Split 182 in the ratio 4 : 9 56 jackets 126 pairs of trousers 4 parts : 9 parts 13 parts = 182 1 part = 182 ÷ 13 = 14 4 parts = 14 x 4 = 56 9 parts = 14 x 9 = 126 © T Madas

A shop has a closing down sale of jackets and pairs of trousers. The jackets and pairs of trousers are in the ratio of 4 : 9 and there is a total of 182 articles in the sale. A jacket sells for £ 20 and a pair of trousers sells for £ 8. a) b) c) Find the number of jackets in the sale. Calculate the amount of money earned from the sale of jackets and the amount earned from the sale of the pairs of trousers. Calculate the ratio of the amounts of part (b), giving your answer as £ from jackets : £ from trousers in its simplest form. Split 182 in the ratio 4 : 9 56 jackets x 20 = £ 1120 14 x 9 = x 8 = £ 1008 126 pairs of trousers © T Madas

A shop has a closing down sale of jackets and pairs of trousers. The jackets and pairs of trousers are in the ratio of 4 : 9 and there is a total of 182 articles in the sale. A jacket sells for £ 20 and a pair of trousers sells for £ 8. a) b) c) Find the number of jackets in the sale. Calculate the amount of money earned from the sale of jackets and the amount earned from the sale of the pairs of trousers. Calculate the ratio of the amounts of part (b), giving your answer as £ from jackets : £ from trousers in its simplest form. £ from jackets £ from Split 182 in the: ratio 4 trousers : 9 1120 : x 1008 20 = £ 1120 56 jackets 14 x 9 = x 8 = £ 1008 126 pairs of trousers © T Madas

A shop has a closing down sale of jackets and pairs of trousers. The jackets and pairs of trousers are in the ratio of 4 : 9 and there is a total of 182 articles in the sale. A jacket sells for £ 20 and a pair of trousers sells for £ 8. a) b) c) Find the number of jackets in the sale. Calculate the amount of money earned from the sale of jackets and the amount earned from the sale of the pairs of trousers. Calculate the ratio of the amounts of part (b), giving your answer as £ from jackets : £ from trousers in its simplest form. £ from jackets : £ from trousers [÷ 2] 1120 : 1008 [÷ 2] 560 : 504 [÷ 2] 280 : 252 [÷ 2] 140 : 126 [÷ 7] 70 : 63 10 : 9 © T Madas

© T Madas

According to the Tennis Lawn Association there were 48 000 tennis players in the United Kingdom in 2004. The ratio of male players to female players was 5 : 1 How many male tennis players were there? Split 48 000 in the ratio 5 : 1 40 000 male 8 000 female 5 parts : 1 part 6 parts = 48 000 1 part = 48 000 ÷ 6 = 8 000 5 parts = 5 x 8 000 = 40 000 © T Madas

© T Madas

Stephen and Robert are window cleaners, and they earned together £ 385 for a week’s work. Stephen worked for 40 hours and Robert for 30 hours in that week. They decided to split the money fairly. How much should each person get? They should split the money in the ratio of: 40 : 30 4: 3 4 parts : 3 parts 7 parts = 385 1 part = 385 ÷ 7 = 55 4 parts = 4 x 55 = 220 Stephen 3 parts = 3 x 55 = 165 Robert © T Madas

© T Madas

Alice, Bina and Carla are waitresses in a restaurant. Every time each of them receives a tip they put it in a jar and share the money at the end of the week. In a given week Alice worked for 6 days, Bina for 5 days while Carla worked for 2 days and the total collected from tips was £ 203. 45. How much money should each of the waitresses receive, if the money is to be shared according to how many days each of them worked? They should split the money in the ratio of: 6 parts : 5 parts : 2 parts 13 parts = 203. 45 1 part = 203. 45 ÷ 13 = 15. 65 Alice Bina Carla 6 parts = 6 x 15. 65 = 93. 9 £ 93. 90 5 parts = 5 x 15. 65 = 78. 25 £ 78. 25 2 parts = 2 x 15. 65 = 31. 3 £ 31. 30 © T Madas

© T Madas

Divide the following numbers in the ratio given 16 at 3 : 1 12 15 at 1 : 2 4 20 at 1 : 4 4 5 15 at 3 : 2 10 20 at 2 : 3 16 8 9 6 21 at 3 : 4 12 9 12 © T Madas

Divide the following numbers in the ratio given 24 at 1 : 5 4 24 at 3 : 5 20 32 at 5 : 3 20 9 28 at 3 : 4 15 30 at 2 : 3 12 12 12 16 36 at 5 : 4 18 20 16 © T Madas

Divide the following numbers in the ratio given 40 at 3 : 5 15 42 at 2 : 5 25 50 at 7 : 3 35 12 48 at 1 : 7 30 60 at 7 : 5 15 35 6 42 45 at 7 : 8 25 21 24 © T Madas

Divide the following numbers in the ratio given 30 at 1 : 2 : 3 5 10 28 at 1 : 2 : 4 15 30 at 2 : 3 : 5 6 9 15 4 8 27 at 2 : 3 : 4 16 40 at 1 : 2 : 5 5 10 25 6 9 12 44 at 2 : 3 : 6 8 12 24 © T Madas

Divide the following numbers in the ratio given 45 at 2 : 3 : 4 10 15 50 at 2 : 3 : 5 20 60 at 2 : 3 : 7 10 15 35 10 15 48 at 1 : 4 : 7 25 72 at 3 : 4 : 5 18 24 30 4 16 28 65 at 2 : 3 : 8 10 15 40 © T Madas

Divide the following numbers in the ratio given 16 at 0. 5 : 1. 5 5 : 15 1: 3 4 12 30 at 0. 8 : 1. 2 8 : 12 2: 3 12 18 24 at 1. 5 : 2. 5 15 : 25 3: 5 9 15 33 at 1. 2 : 1 12 : 10 6: 5 18 15 25 at 1. 2 : 1. 8 12 : 18 2: 3 10 15 32 at 0. 35 : 0. 45 35 : 45 7: 9 14 18 © T Madas

© T Madas

Divide the following numbers in the ratio given 16 at 3 : 1 12 15 at 1 : 2 4 20 at 1 : 4 4 5 15 at 3 : 2 10 20 at 2 : 3 16 8 9 6 21 at 3 : 4 12 9 12 © T Madas

Divide the following numbers in the ratio given 24 at 1 : 5 4 24 at 3 : 5 20 32 at 5 : 3 20 9 28 at 3 : 4 15 30 at 2 : 3 12 12 12 16 36 at 5 : 4 18 20 16 © T Madas

Divide the following numbers in the ratio given 40 at 3 : 5 15 42 at 2 : 5 25 50 at 7 : 3 35 12 48 at 1 : 7 30 60 at 7 : 5 15 35 6 42 45 at 7 : 8 25 21 24 © T Madas

Divide the following numbers in the ratio given 30 at 1 : 2 : 3 5 10 28 at 1 : 2 : 4 15 30 at 2 : 3 : 5 6 9 15 4 8 27 at 2 : 3 : 4 16 40 at 1 : 2 : 5 5 10 25 6 9 12 44 at 2 : 3 : 6 8 12 24 © T Madas

Divide the following numbers in the ratio given 45 at 2 : 3 : 4 10 15 50 at 2 : 3 : 5 20 60 at 2 : 3 : 7 10 15 35 10 15 48 at 1 : 4 : 7 25 72 at 3 : 4 : 5 18 24 30 4 16 28 65 at 2 : 3 : 8 10 15 40 © T Madas

Divide the following numbers in the ratio given 16 at 0. 5 : 1. 5 5 : 15 1: 3 4 12 30 at 0. 8 : 1. 2 8 : 12 2: 3 12 18 24 at 1. 5 : 2. 5 15 : 25 3: 5 9 15 33 at 1. 2 : 1 12 : 10 6: 5 18 15 25 at 1. 2 : 1. 8 12 : 18 2: 3 10 15 32 at 0. 35 : 0. 45 35 : 45 7: 9 14 18 © T Madas

© T Madas