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### Q4

1. 1. <ul><li>Jim bought some chocolates and gave half of it to Ken. Ken bought some sweets and gave half of it to Jim. Jim ate 12 sweets and Ken ate 18 chocolates. The ratio of Jim's sweets to chocolates became 1: 7 and the ratio of Ken's sweets to chocolates became 1:4. How many sweets did Ken buy? </li></ul>© mathsheuristics  Jim Ken 1 After Change After ÷ 2 Change 0 ? Before Sweet Choc After Change After Change Before Sweet Choc
2. 2. <ul><li>Jim bought some chocolates and gave half of it to Ken. Ken bought some sweets and gave half of it to Jim. Jim ate 12 sweets and Ken ate 18 chocolates. The ratio of Jim's sweets to chocolates became 1: 7 and the ratio of Ken's sweets to chocolates became 1:4. How many sweets did Ken buy? </li></ul>© mathsheuristics  Jim Ken 1 After Change After ÷ 2 Change 0 ? Before Sweet Choc After Change After ÷ 2 Change ? 0 Before Sweet Choc
3. 3. <ul><li>Jim bought some chocolates and gave half of it to Ken. Ken bought some sweets and gave half of it to Jim. Jim ate 12 sweets and Ken ate 18 chocolates. The ratio of Jim's sweets to chocolates became 1: 7 and the ratio of Ken's sweets to chocolates became 1:4. How many sweets did Ken buy? </li></ul>© mathsheuristics  Jim Ken 1 After – 12 Change After ÷ 2 Change 0 ? Before Sweet Choc After – 18 Change After ÷ 2 Change ? 0 Before Sweet Choc 2
4. 4. <ul><li>Jim bought some chocolates and gave half of it to Ken. Ken bought some sweets and gave half of it to Jim. Jim ate 12 sweets and Ken ate 18 chocolates. The ratio of Jim's sweets to chocolates became 1: 7 and the ratio of Ken's sweets to chocolates became 1:4. How many sweets did Ken buy? </li></ul>© mathsheuristics  Jim Ken 1 After – 12 Change 1u 7u After ÷ 2 Change 0 ? Before Sweet Choc After – 18 Change 1p 4p After ÷ 2 Change ? 0 Before Sweet Choc 2 3
5. 5. <ul><li>Jim bought some chocolates and gave half of it to Ken. Ken bought some sweets and gave half of it to Jim. Jim ate 12 sweets and Ken ate 18 chocolates. The ratio of Jim's sweets to chocolates became 1: 7 and the ratio of Ken's sweets to chocolates became 1:4. How many sweets did Ken buy? </li></ul>© mathsheuristics  Jim Ken 1 1u+12 7u After – 12 Change 1u 7u After ÷ 2 Change 0 ? Before Sweet Choc 1p 4p + 18 After – 18 Change 1p 4p After ÷ 2 Change ? 0 Before Sweet Choc 2 3 4
6. 6. <ul><li>Jim bought some chocolates and gave half of it to Ken. Ken bought some sweets and gave half of it to Jim. Jim ate 12 sweets and Ken ate 18 chocolates. The ratio of Jim's sweets to chocolates became 1: 7 and the ratio of Ken's sweets to chocolates became 1:4. How many sweets did Ken buy? </li></ul>© mathsheuristics  Jim Ken 1 1u+12 7u After – 12 Change 1u 7u After ÷ 2 Change 0 14u Before Sweet Choc 1p 4p + 18 After – 18 Change 1p 4p After ÷ 2 Change 2p 0 Before Sweet Choc 2 3 4
7. 7. <ul><li>Jim bought some chocolates and gave half of it to Ken. Ken bought some sweets and gave half of it to Jim. Jim ate 12 sweets and Ken ate 18 chocolates. The ratio of Jim's sweets to chocolates became 1: 7 and the ratio of Ken's sweets to chocolates became 1:4. How many sweets did Ken buy? </li></ul>© mathsheuristics  Jim Ken 1 1u+12 7u After – 12 Change 1u 7u After – 7u Change 0 14u Before Sweet Choc 1p 4p + 18 After – 18 Change 1p 4p After ÷ 2 + 7u Change 2p 0 Before Sweet Choc 2 3 4
8. 8. <ul><li>Jim bought some chocolates and gave half of it to Ken. Ken bought some sweets and gave half of it to Jim. Jim ate 12 sweets and Ken ate 18 chocolates. The ratio of Jim's sweets to chocolates became 1: 7 and the ratio of Ken's sweets to chocolates became 1:4. How many sweets did Ken buy? </li></ul>© mathsheuristics  Jim Ken 1 1u+12 7u After – 12 Change 1u 7u After +1p – 7u Change 0 14u Before Sweet Choc 1p 4p + 18 After – 18 Change 1p 4p After – 1p + 7u Change 2p 0 Before Sweet Choc 2 3 4
9. 9. <ul><li>Jim bought some chocolates and gave half of it to Ken. Ken bought some sweets and gave half of it to Jim. Jim ate 12 sweets and Ken ate 18 chocolates. The ratio of Jim's sweets to chocolates became 1: 7 and the ratio of Ken's sweets to chocolates became 1:4. How many sweets did Ken buy? </li></ul>© mathsheuristics  Jim Ken 1p= 1u + 12 7u = 4p + 18 1 1u+12 7u After – 12 Change 1u 7u After + 1p – 7u Change 0 14u Before Sweet Choc 1p 4p + 18 After – 18 Change 1p 4p After – 1p +7u Change 2p 0 Before Sweet Choc 2 3 4 5
10. 10. <ul><li>Jim bought some chocolates and gave half of it to Ken. Ken bought some sweets and gave half of it to Jim. Jim ate 12 sweets and Ken ate 18 chocolates. The ratio of Jim's sweets to chocolates became 1: 7 and the ratio of Ken's sweets to chocolates became 1:4. How many sweets did Ken buy? </li></ul>© mathsheuristics  Jim Ken 1p= 1u + 12  4p = 4u + 48 7u = 4p + 18 1 1u+12 7u After – 12 Change 1u 7u After + 1p – 7u Change 0 14u Before Sweet Choc 1p 4p + 18 After – 18 Change 1p 4p After – 1p +7u Change 2p 0 Before Sweet Choc 2 3 4 5
11. 11. <ul><li>Jim bought some chocolates and gave half of it to Ken. Ken bought some sweets and gave half of it to Jim. Jim ate 12 sweets and Ken ate 18 chocolates. The ratio of Jim's sweets to chocolates became 1: 7 and the ratio of Ken's sweets to chocolates became 1:4. How many sweets did Ken buy? </li></ul>© mathsheuristics  Jim Ken 1p= 1u + 12  4p = 4u + 48 7u = 4p + 18 1 1u+12 7u After – 12 Change 1u 7u After + 1p – 7u Change 0 14u Before Sweet Choc 1p 7p + 18 After – 18 Change 1p 7p After – 1p +7u Change 2p 0 Before Sweet Choc 2 3 4 5
12. 12. <ul><li>Jim bought some chocolates and gave half of it to Ken. Ken bought some sweets and gave half of it to Jim. Jim ate 12 sweets and Ken ate 18 chocolates. The ratio of Jim's sweets to chocolates became 1: 7 and the ratio of Ken's sweets to chocolates became 1:4. How many sweets did Ken buy? </li></ul>© mathsheuristics  Jim Ken 1p= 1u + 12  4p = 4u + 48 7u = 4p + 18 3u  48 + 18 = 66 1u  66 ÷ 3 = 22 1p  22 + 12 = 34 2p  34 x 2 = 68 Ans: 68 sweets 1 1u+12 7u After – 12 Change 1u 7u After + 1p – 7u Change 0 14u Before Sweet Choc 1p 7p + 18 After – 18 Change 1p 7p After – 1p +7u Change 2p 0 Before Sweet Choc 2 3 4 5