A piano has 88 keys. The ratio of white keys to black keys is 13.9. How many black keys does a piano have?



Answer :

black keys=b
white keys=w
b+w=88|·9
w:b=13/9⇒9w=13b
9b+9w=792
13b+9b=792
22b=792|:22
b=36 keys
w=88-36
w=52 keys

Answer:

36

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