I bought 25 guitar picks and 25 guitar strings. Strings cost $1 more than picks. I spend $50 on BOTH. Find the cost of ONE guitar string. (show your work!)

Answer 1

Let's assume the cost of one guitar pick is x dollars.
Since the cost of one guitar string is $1 more than the cost of one guitar pick, the cost of one guitar string would be x + $1.
So the total cost of buying 25 guitar picks would be 25x dollars.
And the total cost of buying 25 guitar strings would be 25(x + $1) dollars.
According to the problem, we spent $50 on both, so we can set up the following equation:
25x + 25(x + $1) = $50.
Simplifying the equation, we get:
25x + 25x + 25 = $50.
Combining like terms, we get:
50x + 25 = $50.
Subtracting 25 from both sides, we get:
50x = $25.
Dividing both sides by 50, we get:
x = $0.50.
Therefore, the cost of one guitar pick is $0.50.
Since the cost of one guitar string is $1 more than the cost of one guitar pick, the cost of one guitar string would be $0.50 + $1 = $1.50.
Hence, the cost of one guitar string is $1.50.