This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
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Here are the solutions to the problems:
1. Step 1: Calculate the new number of green apples. Jitin had 8 green apples and exchanged 2 green ones. Step 2: Calculate the new number of red apples. Jitin had 6 red apples and received 2 red ones. Jitin now has 6 green apples and 8 red apples.
2. Step 1: Calculate the new number of green apples. You had 11 green apples and exchanged 4 green ones. Step 2: Calculate the new number of red apples. You had 7 red apples and received 4 red ones. You now have 7 green apples and 11 red apples.
3. Step 1: Calculate the new number of green apples. You had 12 green apples and received 4 green ones. Step 2: Calculate the new number of red apples. You had 8 red apples and exchanged 4 red ones. You now have 16 green apples and 4 red apples.
4. Step 1: Calculate the original number of red apples. You now have 7 red apples, and you exchanged 4 red apples for green ones (meaning you gave away 4 red apples). Step 2: Calculate the original number of green apples. You now have 6 green apples, and you received 4 green ones. You originally had 2 green apples and 11 red apples.
5. Step 1: Calculate the new number of toys for Siddhant. Siddhant had 11 toys and gave away 4. Step 2: Calculate the new number of toys for Rayansh. Rayansh had 8 toys and received 4. Step 3: Compare and find the difference. Rayansh has 12 toys and Siddhant has 7 toys. Rayansh will have more, by 5 toys.
6. Step 1: Compare initial toys and find the difference. Siddhant has 9 toys, Rayansh has 12 toys. Rayansh has more, by 3 toys. Step 2: Calculate the new number of toys for Siddhant. Siddhant had 9 toys and received 3. Step 3: Calculate the new number of toys for Rayansh. Rayansh had 12 toys and gave away 3. Step 4: Compare new toys and find the difference. Siddhant has 12 toys, Rayansh has 9 toys. Siddhant will have more, by 3 toys.
7. Step 1: Calculate the total number of toys. Siddhant has 7 toys, Rayansh has 11 toys. Step 2: Determine the number of toys each should have for an equal share. Step 3: Calculate how many toys Rayansh must give. Rayansh has 11 toys and needs to have 9. Rayansh must give 2 toys to Siddhant.
8. Step 1: Calculate the total number of toys. Siddhant has 3 toys, Rayansh has 9 toys. Step 2: Determine the number of toys each should have for an equal share. Step 3: Calculate how many toys Rayansh must give. Rayansh has 9 toys and needs to have 6. Rayansh must give 3 toys to Siddhant.
9. Step 1: Calculate the initial difference in toys. Siddhant has 7 toys, Rayansh has 5 toys. Siddhant has 2 more toys than Rayansh. Step 2: Calculate the new number of toys for Siddhant. Siddhant had 7 toys and wins 3. Step 3: Calculate the new number of toys for Rayansh. Rayansh had 5 toys and wins 3. Step 4: Calculate the new difference in toys. Siddhant has 10 toys, Rayansh has 8 toys. Siddhant will still have 2 more toys than Rayansh.
10. Step 1: Calculate the new number of green balloons. Dinesh had 7 green balloons and exchanged 4 green ones. Step 2: Calculate the new number of red balloons. Dinesh had 6 red balloons and received 4 red ones. Dinesh now has 3 green balloons and 10 red balloons.
11. Step 1: Calculate the total number of pencils. Rakesh has 3 pencils, Amit has 7 pencils. Step 2: Determine the number of pencils each should have for an equal share. Step 3: Calculate how many pencils Amit must give. Amit has 7 pencils and needs to have 5. Amit must give 2 pencils to Rakesh.
12. Step 1: Calculate the total number of chocolates. Preeti has 6 chocolates, Rashmi has 12 chocolates. Step 2: Determine the number of chocolates each should have for an equal share. Step 3: Calculate how many chocolates Rashmi must give. Rashmi has 12 chocolates and needs to have 9. Rashmi must give 3 chocolates to Preeti.
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Welcome back Sushila — missed you this week. Here are the solutions to the problems: 1.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.