Grade DE Ratio Sharing Divide a quantity in

Grade D/E Ratio Sharing Divide a quantity in a given ratio. If you have any questions regarding these resources or come across any errors, please contact helpful-report@pixl. org. uk

Key Vocabulary Change Divide Proportion Quantity Ratio Share

How to work out given ratios Liam and Andrew share £ 30 in the ratio 5 : 1 Work out how much money each person gets. 5: 1 We need to work out what the value of 1 part in pounds. Add the parts of the ratio together. 5+1=6 £ 30 is being shared between both of them. Divide 30 by 6. 30 ÷ 6 = 5 1 part = £ 5 For every £ 5 Liam receives, Andrew receives £ 1.

How to work out given ratios. Continued Liam and Andrew share £ 30 in the ratio 5 : 1 Work out how much money each person gets. 1 part = £ 5 Liam: £ 5 × 5 = £ 25 Andrew: £ 5 × 1 = £ 5 So Liam will get £ 25 and Andrew will get £ 5 5: 1

How to work out more complex ratio sharing Ashley, Natasha and Luke shared some money in the ratio 5 : 8 : 10. Luke got £ 100 more than Ashley. How much money did Natasha get? Luke = Ashley + £ 100 Luke’s ratio – Ashley’s ratio: 10 – 5 = 5 Work out the value of 1 part £ 100 ÷ 5 = £ 20 Natasha: £ 20 × 8 = £ 160 £ 20 = 1 part

How to work out given ratios. Now you try 1) Tyler and Kate share £ 91 in the ratio 4 : 3. 4) Aria, Dillan and Adam share 75 , 10 p coins Work out how much money each person gets. in the ratio 9 : 2 : 4. 4+3=7 91/7 = 13 Work out the number of 10 p coins that Tyler: 4 × 13 = £ 52 each of them receives. Kate: 3 × 13 = £ 39 9 + 2 + 4 = 15 2) Ryan and Simon share £ 72 in the ratio 4 : 8. 75/15 = 5 per part Work out how much money each person gets. Aria: 9 × 5 = 45 , 10 p coins 4 + 8 = 12 Dillan: 2 × 5 = 10 , 10 p coins 72/12 = 6 Adam: 4 × 5 = 20 , 10 p coins Ryan: 4 × 6 = £ 24 Simon: 8 × 6 = £ 48 3) Manisha and Alex share £ 600 in the ratio 62 : 58. Work out how much money each person gets. 62 + 58 = 120 600/120 = 5 Manisha: 62 × 5 = £ 310 Alex: 58 × 5 = £ 290

Problem solving and reasoning Kate, Drake and Ed share £ 350 between them. Kate receives £ 120 more than Drake. The ratio of Kate’s share to Drake’s share is 13 : 3 Work out the ratio of Ed’s share to Drake’s share. Give your answer in its simplest form.

Problem solving and reasoning Kate, Drake and Ed share £ 350 between them. Kate receives £ 120 more than Drake. The ratio of Kate’s share to Drake’s share is 13 : 3 Work out the ratio of Ed’s share to Drake’s share. Give your answer in its simplest form. 120 + Drake = Ed 13 – 3 = 10 120 ÷ 10 = £ 12 = 1 part 13 × £ 12 = £ 156 : Kate 3 × £ 12 = £ 36 : Drake £ 156 + £ 36 = £ 192 £ 350 - £ 192 = £ 158 36 : 158 ÷ 2 18 : 79

Reason and explain True or False? § A bag contains 10 yellow balls, 20 red balls and 25 blue balls. The ratio is 2 : 10 : 5 § A wallet contains 16, 2 p coins, 24, 10 p coins and 6, 50 p coins. The ratio is 4 : 6 : 3 § A jar contains 36 green marbles, 54 orange marbles and 60 pink. The simplified ratio is 18 : 27 : 30