# Budget Problem

A, B, C and D organise a chalet. Total cost of the chalet is \$108, which is shared among the four friends. The \$108 is first paid for by A.

B and C return \$20 each to A at the beginning of the chalet.

Friends order pizza for dinner. The cost of the pizza is \$40, which is paid using the money that B and C had returned A. So now, the total cost of the chalet has been increased to \$148 (each should give A \$37, except for B, for A owed B \$7 beforehand)

So later, B returns A \$10, C returns \$17, D returns \$37. In total, A has \$64 collected from the rest of us.

That's when we ran into trouble. Because A should collect \$111 from us, if we go by the each-person-pay-37 theory. So it doesn't make sense.

Edit: Never mind, A gets it now! :D

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