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)

Answer 1

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}.