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
Let's assume the cost of one guitar string is S.
The cost of 25 guitar picks is 25C.
The cost of 25 guitar strings is 25S.
We are given that the total cost of these supplies is $40. So we can write the equation:
25C + 25S = 40.
We are also given that the cost of one guitar string is $1 more than the cost of one guitar pick. So we can write another equation:
S = C + 1.
We can substitute this value of S in the first equation:
25C + 25(C + 1) = 40.
25C + 25C + 25 = 40.
50C + 25 = 40.
50C = 40 - 25.
50C = 15.
C = 15/50.
C = 0.3.
Therefore, the cost of one guitar pick is $0.3.
The cost of one guitar string is C + 1 = 0.3 + 1 = $1.3. Answer: \boxed{1.3}.