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

Question

is the cost of one guitar pick, find the cost of one guitar string.(1 point)

Answer 1

Let \( c \) be the cost of one guitar pick. Given that the cost of one guitar string is \( c + 1 \) dollars, we can set up the following equation based on the quantities purchased and total spent:

\[ 25c + 25(c + 1) = 40 \]

Now, simplify the equation:

\[ 25c + 25c + 25 = 40 \] \[ 50c + 25 = 40 \]

Next, subtract 25 from both sides:

\[ 50c = 40 - 25 \] \[ 50c = 15 \]

Now, divide both sides by 50 to solve for \( c \):

\[ c = \frac{15}{50} = \frac{3}{10} = 0.3 \]

So, the cost of one guitar pick is \( 0.3 \) dollars. Now, to find the cost of one guitar string:

\[ c + 1 = 0.3 + 1 = 1.3 \]

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