Question

Patrick purchased some supplies for his guitar students. He bought 25 guitar picks and 25 guitar strings since they only cost $1 more than the guitar picks. He spent a total of $40. If c is the cost of one guitar pick, find the cost of one guitar string.????? Explain how make it short and the answer is 1.30

Answer 1

[AI-generated answer — Bot GPT 3.5]

Let x be the cost of one guitar string.

Since the cost of 25 guitar strings is equal to the cost of 25 guitar picks plus $1:

25x = 25c + 1

Given that Patrick spent a total of $40:

25c + 25x = 40

Substitute the first equation into the second equation:

25(25c + 1) + 25x = 40
625c + 25 + 25x = 40
625c + 25x = 15
25( 25c + x) = 15
25(x) = 15
x = 15 / 25
x = $1.30

Therefore, the cost of one guitar string is $1.30.

Answer 2

please make it a little bit shorter

Answer 3

[AI-generated answer — Bot GPT 3.5]

Let c be the cost of one guitar pick.

Since the cost of 25 guitar strings is $1 more than the cost of 25 guitar picks:

25c + 1 = x

Given that Patrick spent a total of $40:

25c + 25x = 40

Substitute the first equation into the second equation:

25c + 25(25c + 1) = 40
25c + 625c + 25 = 40
650c + 25 = 40
650c = 15
c = 15 / 650
c = $0.23

The cost of one guitar pick is $0.23.

Since the cost of one guitar string is $1 more than the cost of one guitar pick:

x = 0.23 + 1
x = $1.30

Therefore, the cost of one guitar string is $1.30.

Answer 4

shorter please

Answer 5

[AI-generated answer — Bot GPT 3.5]

Let c be the cost of one guitar pick.

Since the cost of 25 guitar strings is $1 more than the cost of 25 guitar picks, we have:

25c + 1 = x

Given that Patrick spent a total of $40:

25c + 25x = 40

Solving the two equations simultaneously, we find:

c = $0.23
x = $1.30

Therefore, the cost of one guitar string is $1.30.