Question

piano x piano x piano = 27
piano x guitar = saxaphone x microphone
microphone x saxaphone = 6
saxaphone - piano = piano
guitar x saxaphone x microphone = music note

picture: piano, guitar, saxaphone, microphone, music note
Value:

Answer 1

Let's define the variables for each of the musical instruments based on the problem:

- Let \( p \) be the value of piano
- Let \( g \) be the value of guitar
- Let \( s \) be the value of saxophone
- Let \( m \) be the value of microphone
- Let \( n \) be the value of music note

Now we can translate the equations from the statements given:

1. \( p \times p \times p = 27 \) (which simplifies to \( p^3 = 27 \)), so \( p = 3 \).
2. \( p \times g = s \times m \)
3. \( m \times s = 6 \)
4. \( s - p = p \) (which simplifies to \( s = 2p \)), given that \( p = 3 \), thus \( s = 2 \times 3 = 6 \).
5. \( g \times s \times m = n \)

Now we can use these equations step by step:

From (3):
\[ m \times s = 6 \]
With \( s = 6 \):
\[ m \times 6 = 6 \]
Thus, \( m = 1 \).

Now substituting \( p \), \( s \), and \( m \) values into (2):
\[ p \times g = s \times m \]
\[ 3 \times g = 6 \times 1 \]
\[ 3g = 6 \]
Thus, \( g = 2 \).

Now we have all the values:
- \( p = 3 \)
- \( g = 2 \)
- \( s = 6 \)
- \( m = 1 \)

Now we can solve for \( n \) using (5):
\[ g \times s \times m = n \]
\[ 2 \times 6 \times 1 = n \]
So, \( n = 12 \).

To summarize:
- The value of the piano (p) is 3.
- The value of the guitar (g) is 2.
- The value of the saxophone (s) is 6.
- The value of the microphone (m) is 1.
- The value of the music note (n) is 12.

**Final Values:**
- Piano = 3
- Guitar = 2
- Saxophone = 6
- Microphone = 1
- Music Note = 12