Subjects arithmetic

Bill Split B84A89

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1. Statement of the problem: Aaron paid 4423 to caregivers. 2. Statement of the problem: Lidskys paid 1595 to caregivers. 3. Statement of the problem: Lidskys sent 2075 to Aaron. 4. Statement of the problem: Lipners sent 1374.50 to Aaron. 5. Plan: we will compute the total paid by these three, the equal share, each person's net contribution, and then who owes whom. 6. Total paid by the three: $$\text{Total}=4423+1595=6018$$ 7. Equal share per person: $$\text{Share}=\frac{\text{Total}}{3}=\frac{6018}{3}=2006$$ 8. Compute net contribution for Aaron (payments to caregivers minus money he received from the others): $$A=4423-(2075+1374.50)=973.50$$ 9. Compute net contribution for Lidskys (payments to caregivers plus money they sent to Aaron): $$L=1595+2075=3670$$ 10. Compute net contribution for Lipners (they sent money to Aaron and did not pay caregivers directly here): $$P=1374.50$$ 11. Compare each net contribution to the fair share to find who owes or is owed: Aaron owes $$2006-973.50=1032.50$$ 12. Compare for Lipners: Lipners owes $$2006-1374.50=631.50$$ 13. Compare for Lidskys: Lidskys is owed $$3670-2006=1664$$ 14. Check: $$1032.50+631.50=1664$$ 15. Settlement (who should pay whom to settle among the three): Aaron should pay 1032.50 to Lidskys. 16. Settlement: Lipners should pay 631.50 to Lidskys. 17. Final answer: Aaron owes 1032.50 to Lidskys. 18. Final answer: Lipners owes 631.50 to Lidskys.