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's assume the cost of one guitar pick is c. Therefore, the cost of one guitar string is c+1.
Patrick bought 25 guitar picks, so the total cost of the guitar picks is 25*c
He also bought 25 guitar strings, so the total cost of the guitar strings is 25*(c+1)
The total expenditure is $40, so we have the equation:
25*c + 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 string is 0.3+1 = $1.3. Answer: \boxed{1.3}.