A piano has 52 white keys. Write and use an equation to find the number of octaves (8 keys) on a piano keyboard.

Question

Mathematics

Ashlee Schroeder

12 August, 14:07

A piano has 52 white keys. Write and use an equation to find the number of octaves (8 keys) on a piano keyboard.

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Answers (2)

Know the Answer?

Marquise Davis · Answer 1

B + W = 88

B = 7 * 5 + 1 (5 black keys/8 keys per octave)

therefore black keys = 36 and white keys = 52

Rory Rich · Answer 2

Each octave in the piano is composed of 8 keys with the end key overlapping the next one which means the last key is the first key of the next octave. In 52 white keys, there are 7 octaves which is composed of 43 full keys and 7 overlapping keys. Answer to this problem is 7 octaves.