what is the value of Piano, Guitar, Saxophone, Microphone, and note seperated if
3 pianos = 27
and a piano times a guitar = saxophone time two microphones = 6
and a saxophone minus a piano = one piano
and one guitar times a saxophone times a microphone = a note
From the given information, we can derive the following equations:
1. 3 pianos = 27
Dividing both sides of the equation by 3, we get:
1 piano = 9
2. (1 piano)(1 guitar) = (saxophone)(2 microphones) = 6
Since we know 1 piano = 9, we can rewrite the equation as:
9(1 guitar) = (saxophone)(2 microphones) = 6
3. (saxophone) - (1 piano) = (1 piano)
If 1 piano = 9, then we can rewrite the equation as:
(saxophone) - 9 = 9
4. (1 guitar)(saxophone)(1 microphone) = (a note)
Using the information from equation 2, we know that:
9(2 microphones)(saxophone) = (a note)
Now let's solve these equations step by step:
From equation 3:
(saxophone) - 9 = 9
Adding 9 to both sides:
saxophone = 18
From equation 2:
9(1 guitar) = 6
Divide both sides by 9:
1 guitar = 6/9
1 guitar = 2/3
From equation 4:
9(2 microphones)(18) = (a note)
Multiplying:
36(18) = (a note)
648 = (a note)
So, the value of each item is as follows:
Piano = 9
Guitar = 2/3
Saxophone = 18
Microphone = n/a (cannot be determined from given information)
Note = 648