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 call the cost of one guitar pick c dollars.
Since the cost of one guitar string is $1 more than the cost of one guitar pick, the cost of one guitar string is c+1 dollars.
Patrick bought 25 guitar picks, so he spent 25*c dollars on the guitar picks.
Patrick also bought 25 guitar strings, so he spent 25*(c+1) dollars on the guitar strings.
He spent a total of $40, so we can write the equation 25*c + 25*(c+1) = $40.
Expanding the equation gives us 25c + 25c + 25 = $40.
Combining like terms gives us 50c + 25 = $40.
Subtracting 25 from both sides gives us 50c = $15.
Dividing both sides by 50 gives us c = $15/50 = $0.3.
So the cost of one guitar string is c+1 = $0.3 + 1 = $1.3. Answer: \boxed{1.3}.