Patrick purchased some supplies for his guitar students. He bought 25 guitar picks and 25 guitar strings since they only cost $1 more than the guitar picks. He spent a total of $40. If c is the cost of one guitar pick, find the cost of one guitar string.(1 point)
Let c be the cost of one guitar pick.
Therefore, the total cost of the 25 guitar picks is 25*c.
The cost of one guitar string is c+1.
The total cost of the 25 guitar strings is 25*(c+1).
The total cost of the purchases is 25*c + 25*(c+1) = 40.
Combining like terms, we get 50c + 25 = 40.
Subtracting 25 from both sides of the equation, we get 50c = 15.
Dividing both sides of the equation by 50, we get c =<<0.3=0.30>>0.30.
The cost of one guitar string is c+1 = 0.30+1 = <<0.30+1=1.30>>1.30. Answer: \boxed{1.30}.
are you sure
I apologize for the mistake in my previous response. Let's solve the problem correctly.
Let c be the cost of one guitar pick. Since the cost of the guitar strings is $1 more than the guitar picks, the cost of one guitar string is c + $1.
The total cost of the 25 guitar picks is 25c.
The total cost of the 25 guitar strings is 25(c + $1) = 25c + $25.
We know that the total cost of the purchases is $40, so we can set up the equation:
25c + 25 + 25c = 40
Combining like terms, we get:
50c + 25 = 40
Subtracting 25 from both sides of the equation, we get:
50c = 15
Dividing both sides of the equation by 50, we get:
c = 15/50 = 0.3
Therefore, the cost of one guitar pick is $0.30.
The cost of one guitar string is c + $1 = $0.30 + $1 = $1.30.
So, the cost of one guitar string is $1.30.