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28 November, 06:52

Assume the population of a large city like New York City is about 4 * 10^6 people, with about 1.97 people per household. Approximately 1 household in 16.1 has a piano. The piano keyboard has about 64 notes (8 octaves) with about 2 strings per note. A piano should be tuned once per year (365.25 days). A piano tuner can tune about 3 pianos per day. And, finally, pianos tuners work 250 days per year. How many pianos tuners are there in New York City?

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  1. 28 November, 13:05
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    So here are the given information:

    4 x 10^6 people

    1.97 people = 1 household

    16.1 households = 1 piano

    1 piano = 1 tuning/year

    1 tuner = 3 tunings/working day

    1 year = 250 working days

    Multiplying everything:

    4 x 10^6 people x (1 household/1.97 people) x (1 piano/16.1 households) = 126115.33 pianos in NYC

    126115.33 pianos x (1 (tuning/year) / 1 piano) x (1 year/250 working days) x (1 working day/3 pianos/tuner) = 168.15 tuners

    Therefore about 168 piano tuners in NYC.
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