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

Answer 1

Let's assume that the cost of one guitar pick is c.
The cost of one guitar string is c + 1 since they cost 1 more than the guitar picks.
Patrick bought 25 guitar picks, so he spent 25 * c on guitar picks.
He bought 25 guitar strings, so he spent 25 * (c + 1) on guitar strings.
Since he spent a total of 40, we can write the equation 25c + 25(c + 1) = 40.
Combining like terms, we get 25c + 25c + 25 = 40.
Combining like terms again, we get 50c + 25 = 40.
Subtracting 25 from both sides, we get 50c = 15.
Dividing both sides by 50, we get c = 15 / 50 = <<15/50=0.3>>0.3.
Therefore, the cost of one guitar string is 0.3 + 1 = <<0.3+1=1.3>>1.3. Answer: \boxed{1.3}.