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.
The cost of 25 guitar picks is 25c.
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 = $0.30
The cost of one guitar string is c + 1 = $0.30 + $1 = $1.30. Answer: \boxed{1.30}.