Q24. - Algebra 1

Question

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

Step-by-Step Solution

Answer

The number of octaves is 6.5.

Step 1. Given information.

A piano has 52 white keys.

1 octave = 8 white keys

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:

$8n=52$

Step 3. Solve the equation.

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

$$\begin{gathered} 8n=52 \\ n=\frac{52}{8} \\ n=6.5 \end{gathered}$$

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