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 c be the cost of one guitar pick.
The cost of 25 guitar picks is 25c.
The cost of one guitar string is c + 1.
The cost of 25 guitar strings is 25(c + 1).
The total cost is 25c + 25(c + 1) = 40.
Combining like terms, we get 25c + 25c + 25 = 40.
Combining like terms, we get 50c + 25 = 40.
Subtracting 25 from both sides, we get 50c = 15.
Dividing both sides by 50, we get c = 15/50 = 3/10.
Thus, the cost of one guitar string is c + 1 = 3/10 + 1 = (3 + 10) / 10 = <<(3+10)/10=13/10=1.3>>1.3. Answer: \boxed{1.3}.