11. Malcolm purchased some supplied for his music class. He bought 30 guitar picks and 30 guitar strings since they only cost $1 more than the guitar picks. He spent a total of $75. If c is the cost of one guitar pick, find the cost of one guitar string.

Answer 1

Let's say the cost of one guitar string is s.
The cost of 30 guitar picks is 30*c = 30c
Since they only cost $1 more than the guitar picks, the cost of the 30 guitar strings is 30c + 30*1 = 30c + 30
The total cost of the 30 guitar picks and 30 guitar strings is 75, so 30c + 30 + 30c = 75
This simplifies to 60c + 30 = 75
Subtracting 30 from both sides gives 60c = 45
Dividing both sides by 60 gives c = 45/60 = 0.75
The cost of one guitar string is s = c + 1 = 0.75 + 1 = 1.75. Answer: \boxed{1.75}.