what is the value of Piano, Guitar, Saxophone, Microphone, and note separated 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
Let's assign variables to each item:
Let p = value of a piano
Let g = value of a guitar
Let s = value of a saxophone
Let m = value of a microphone
Let n = value of a note
Based on the given information:
3 pianos = 27
3p = 27
p = 9
A piano times a guitar = saxophone times two microphones = 6
p * g = s * (2m) = 6
A saxophone minus a piano = one piano
s - p = p
s = 2p
s = 2(9)
s = 18
One guitar times a saxophone times a microphone = a note
g * s * m = n
Using the assigned values, we have:
9 * g = 18 * (2m) = 6
9g = 36m = 6
To solve for g and m, we can divide the two equations:
9g / 36m = 6 / 6
g / 4m = 1
Since the ratio of g to m is 1:4, we can assign any values that satisfy this ratio. Let's assume g = 1 and m = 4.
Now we can calculate the value of each item:
p = 9
g = 1
s = 18
m = 4
Substituting these values:
n = g * s * m
n = 1 * 18 * 4
n = 72
Therefore, the values of the items are:
Piano = 9
Guitar = 1
Saxophone = 18
Microphone = 4
Note = 72