To find the cost of one guitar string, we first need to determine the cost of one guitar pick.
Let's assume the cost of one guitar pick is c dollars.
Given that Patrick bought 25 guitar picks, the total cost of the guitar picks would be 25c dollars.
We also know that the cost of 25 guitar strings is $1 more than the cost of the guitar picks. This means that the cost of the 25 guitar strings would be (25c + $1) dollars.
According to the information given, Patrick spent a total of $40, so we can set up the following equation:
25c + $1 = $40
To solve for c, we will isolate it on one side of the equation by subtracting $1 from both sides:
25c = $40 - $1
25c = $39
Now, we can solve for c by dividing both sides of the equation by 25:
c = $39 / 25
c = $1.56
Therefore, the cost of one guitar pick is $1.56.
To find the cost of one guitar string, we can substitute the value we found for c into the formula (25c + $1):
Cost of one guitar string = (25 * $1.56) + $1 = $39 + $1 = $40
Thus, the cost of one guitar string is $40.