How many piano tuners live in new york city?

Answer 1

Some people tune their pianos monthly.

Some never tune them at all. It is probably reasonable to expect that, on average, pianos get tuned once a year.

But you don't really know that for sure.

Let's begin:

NYC Population: 3e6 people, more or less

Average size of household: 1.46 people / household

Average number of households having a piano: 11.7 households / piano

Number of pianos tuned by one tuner per day: 4 pianos (exactly)

Number of tuner workdays per year: 253 days (exactly)

Number of people per piano: 1.46 * 11.7 = 17 people / piano

Number of pianos per NYC: 3e6 / 17 = 176470 pianos / NYC

Number of pianos tuned by one tuner per year: 4 * 253 = 1012 pianos

Number of tuners needed to tune all the pianos in NYC: 176470 / 1012 = 174.

ANSWER: 174 tuners, more or less.

Note: A standard piano keyboard has 88 keys. An octave spans 12 keys, not 8. The number of keys is irrelevant, as is the number of strings, because a piano tuner will tune all the strings for all the keys when he/she tunes the piano.