emily6886 emily6886
  • 07-09-2016
  • Mathematics
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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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alondraaceves12
alondraaceves12 alondraaceves12
  • 07-09-2016
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.
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ljeeps82
ljeeps82 ljeeps82
  • 07-09-2016

B + W = 88 
B = 7 *5 + 1 (5 black keys/8 keys per octave) 


therefore black keys = 36 and white keys = 52
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