Beach Day by Rodger Bliss
September 2022
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Three Old Coins

A woman had three old coins – a silver dollar, a quarter, and a dime. Each coin was a little battered and had a piece missing.
She found that exactly the same fraction had broken away from each coin. What fraction of each was missing if the value of the remaining
bits of coins was now exactly one dollar in total? For this puzzle it can be assumed that half of a coin is worth half of its value.

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2 guesses to Three Old Coins


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  • Ryver

    Algebra Time! X = bit remaining
    1X + .25X + .1X = 1
    1.35X = 1
    X = approx. 74%
    1-X = approx. 26%

  • Correct Ryver.

    7÷27 of each coin was missing.

    The original value of the three coins was 100 + 25 + 10 = 135, and the new value was 100. So 35÷135 of the original value has been removed and 35÷135 = 7÷27 (Which is approximately 26%)

    You’re today’s winner.