Pat purchased some supplies for his guitar students he bought 25 guitar picks and 25 guitar strings since they olny 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
Let the cost of one guitar pick be represented by c.
Since Pat bought 25 guitar picks and they cost $1 more than the guitar strings, he spent a total of 25(c+1) dollars on guitar picks.
He also bought 25 guitar strings which cost S dollars.
Therefore, 25(c+1) + S = 40.
25c + 25 + S = 40.
25c + S = 40 - 25
25c + S = 15.
Since we know that the cost of one guitar pick is c dollars, we can rewrite this equation as:
25c + S = 15.
Given that c = 1, we can substitute 1 for c in the equation:
25(1) + S = 15.
25 + S = 15.
S = 15 - 25.
S = -10.
The cost of one guitar string is -10 dollars. However, this doesn't make sense in the context of the problem, so there might be an error in the calculations or the information provided.