Patrick purchased some supplies for his guitar students. He bought 25 guitar pics and 25 guitar strings since they only cost one dollar more than the guitar pics he spent $40 if he is the cost of one guitar pick find the cost of one guitar string.

Answer 1

Let's assume the cost of one guitar pick is "x" dollars.
According to the given information, Patrick bought 25 guitar picks and 25 guitar strings for a total cost of $40.
The cost of 25 guitar picks is 25 * x = 25x dollars.
The cost of 25 guitar strings is (25x + 1) dollars. (since the guitar strings cost one dollar more than the guitar picks)
So we can set up the equation: 25x + 25x + 1 = 40
Combining like terms, we get: 50x + 1 = 40
Subtracting 1 from both sides of the equation: 50x = 40 - 1
Simplifying, we get: 50x = 39
Dividing both sides of the equation by 50, we get: x = 39/50
Therefore, the cost of one guitar pick is $0.78 (rounded to two decimal places).
Since the cost of one guitar string is one dollar more than the guitar pick, the cost of one guitar string is $0.78 + $1 = $1.78. Answer: \boxed{1.78}.