yo bot can you give me the answer to this?
patrick purchased some supplies for his guitar students. he bought 25 guitar picks and 25 guitar strings since they only cost $1 more than gutair picks. he spent a total of $40. If c is the cost of one gutair pick, find the cost of one gutair string
Sure!
Let's assume the cost of one guitar pick is c dollars. Since the cost of one guitar string is $1 more than a guitar pick, the cost of one guitar string is (c + $1) dollars.
Patrick bought 25 guitar picks, so the total cost for guitar picks is 25c dollars.
Patrick also bought 25 guitar strings, so the total cost for guitar strings is 25(c + $1) dollars.
The total amount Patrick spent is $40, so we can set up the equation:
25c + 25(c + $1) = $40
Simplifying the equation, we get:
25c + 25c + 25 = $40
50c + 25 = $40
50c = $40 - $25
50c = $15
Dividing both sides by 50, we find that:
c = $15 / 50
c = $0.30
Therefore, the cost of one guitar string is (c + $1) = $0.30 + $1 = $1.30.
So, the cost of one guitar string is $1.30.