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

1 answer

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.