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Bill Split Calculator: Settle Multiple Payers in Fewer Transfers

For this $40 bill, C pays A $6 and D pays B $4; both people who covered extra get their money back in two transfers.

Four people each owe $10, but they did not pay the same amount. Work out the difference between paid and owed before sending another payment. Paying part of the receipt does not erase the rest of a person's share.

This is an illustrative settlement, using dollars throughout. It assumes people can send directly to one another without transfer fees or recipient restrictions.

Separate the bill from the balance

One $40 bill; net balance = paid minus owed
PersonPaidOwedNet
A$16$10+$6
B$14$10+$4
C$4$10−$6
D$6$10−$4
Total$40$40$0

A has covered $6 for the group and B has covered $4. They should receive those amounts. C still owes $6 and D still owes $4; their initial payments are already included, so do not ask them to pay another $10 each.

The paid column sums to 16 + 14 + 4 + 6 = 40. The owed column sums to 10 + 10 + 10 + 10 = 40. Net balances cancel: +6 + 4 − 6 − 4 = 0. There is $10 to send and exactly $10 to receive.

Two plans that both settle the same bill

Plan A: three transfers

  1. C sends B $4.
  2. C sends A $2.
  3. D sends A $4.

C sends $6 altogether and D sends $4. B receives $4; A receives $2 + $4 = $6. Every balance clears, although C must make two separate payments.

Plan B: two transfers

  1. C sends A $6.
  2. D sends B $4.

Each sender now pays once. C's −$6 becomes $0 and A's +$6 becomes $0; D's −$4 becomes $0 and B's +$4 becomes $0. The amount moved is still $10.

Check actual out-of-pocket costs after Plan B: A pays 16 − 6 = $10, B pays 14 − 4 = $10, C pays 4 + 6 = $10, and D pays 6 + 4 = $10. Matching opposite balances avoids splitting C's repayment across two recipients.

Prove the transfer count

The two debtors must each send at least one transfer. Therefore, the lower bound on the number of transfers is 2. Our plan uses exactly 2 transfers, so it is a minimum-transfer settlement for this example.

Enter this bill in the calculator

Open the bill split calculator, use USD and add four people named A, B, C and D. Enter one $40 item shared by everyone, with no extra charges. Choose “Multiple people paid” and enter $16, $14, $4 and $6 in that order, then calculate.

Compare the result with the paid, owed and net columns above. A different list of payments is not a different bill share: check both columns separately. If the payment total differs from the receipt total, correct the inputs before following any repayment instructions.

For a receipt whose individual shares contain leftover cents, use the item-by-item rounding ledger first; this example starts with four agreed $10 shares and deals only with the transfers afterward.

This settlement describes where money would go; nobody is charged and no payment is made on anyone's behalf.