Spare change logic puzzle (difficult)

Random Science or math Quiz

Can you name whether each square in the grid is (E)mpty, or contains a (P)enny, a (N)ickel, a (D)ime, or a (Q)uarter?

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A museum curator needed coins for the parking meter. He went into a convenience store and bought: one burrito, two bags of chips, three pieces of candy, and a cup of coffee. He gave the cashier $10 and asked for change entirely in coins. Upon returning outside and finding his car had been towed, the curator threw all the coins at a homeless man. The 5x5 grid shows how the coins scattered on the sidewalk. Each square in the grid is either empty, or contains one coin. By pure coincidence, the following are true: the sum of the coins in the top row is equal to the price of a piece of candy; the sum of the coins in the left column is equal to the price of a cup of coffee; and the sum of all the coins on the sidewalk is half the price of a bag of chips.
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Created Jan 25, 2014SourceReportNominate
Tags:Logic, math, puzzle, arithmetic