olymmath

HMMT 2015 T6

  • Team

$\$ indy has $100\$ 100 in pennies (worth $0.01\$ 0.01 each), nickels (worth $0.05\$ 0.05 each), dimes (worth $0.10\$ 0.10 each), and quarters (worth $0.25\$ 0.25 each). Prove that she can split her coins into two piles, each with total value exactly $50\$ 50.

Dataset text NuminaMath olympiads. Quoted with source.

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