Malcolm purchased some supplies for his music class. He bought 30 guitar picks and 30 guitar strings since they only cost $1 more than the guitar picks. He spent a total of $75. If c is the cost of one guitar pick, find the cost of one guitar string.
The total cost of the guitar picks is 30*c
The cost of 30 guitar strings is 30*c+1
The total cost of the guitar strings and guitar picks is 30*c + 30*c+1 = $75
Combining like terms gives 60*c + 1 = $75
Subtracting 1 from each side gives 60*c = $74
Dividing each side by 60 gives c = $<<74/60=1.23>>1.23
The cost of one guitar string is 30*1.23+1 = $<<30*1.23+1=37.90>>37.90. Answer: \boxed{37.90}.