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Chapter 2: Q24. (page 78)

Write and use an equation to find the number of octaves on a piano keyboard.

Short Answer

Expert verified

The number of octaves is 6.5.

Step by step solution

01

Step 1. Given information.

A piano has 52 white keys.

1 octave = 8 white keys

02

Step 2. Write the equation.

Consider the number of octaves be n. Total number of white keys is 52.

Then, the equation to find the number of octaves is:

8n=52

03

Step 3. Solve the equation.

The equation 8n=52can be written as in below.

role="math" localid="1642077614249" 8n=52n=528n=6.5

Therefore, the number of octaves on a piano keyboard is 6.5.

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