I bought 25 guitar picks and 25 strings. Strings cost $1 more than picks. I spent $50 on both. Find the cost of one guitar string.

Answer 1

Let's assume the cost of one guitar pick is P dollars.
Since the strings cost $1 more than the picks, the cost of one guitar string is P+1 dollars.
Since you bought 25 guitar picks, the total cost of picks is 25*P dollars.
And since you bought 25 guitar strings, the total cost of strings is 25*(P+1) dollars.
The total cost of both picks and strings is given as $50, so we can set up the equation:
25P + 25(P+1) = 50
25P + 25P + 25 = 50
50P + 25 = 50
50P = 50 - 25
50P = 25
P = 25/50
P = 0.5
Therefore, the cost of one guitar pick is $0.5 and the cost of one string is P + 1 = 0.5 + 1 = $1.5. Answer: \boxed{1.5}.