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?

Question

Shelby Abbott

Physics

20 March, 01:00

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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Erin Fritz · Answer 1

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.