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.

Answer 1

Find x 1/4 (x+3) = 5

Answer 2

what is x+3

Answer 3

Let the cost of one guitar pick be c.
The cost of one guitar string is c + $1.
The total cost of the guitar picks is 25c.
The total cost of the guitar strings is 25(c + $1).
The total cost of the supplies is 25c + 25(c + $1) = $40.
Combining like terms, we get 25c + 25c + $25 = $40.
Combining like terms again, we get 50c + $25 = $40.
Subtracting $25 from both sides, we get 50c = $15.
Dividing both sides by 50, we get c = $0.30.
The cost of one guitar string is $0.30 + $1 = $\boxed{1.30}.

Answer 4

To find the value of x, we can solve the equation step-by-step.

Step 1: Distribute the 1/4 to the terms inside the parentheses:
1/4 (x+3) = 5
(1/4) * x + (1/4) * 3 = 5
x/4 + 3/4 = 5

Step 2: Combine like terms on the left side of the equation:
x/4 + 3/4 = 5
(x + 3)/4 = 5

Step 3: Multiply both sides of the equation by 4 to eliminate the fraction:
4 * (x + 3)/4 = 5 * 4
(x + 3) = 20

Step 4: Subtract 3 from both sides of the equation:
(x + 3) - 3 = 20 - 3
x = 17

Therefore, the value of x is 17.

Answer 5

The expression x + 3 represents the sum of x and 3. It is a simplified algebraic expression that cannot be simplified any further without knowing the specific value of x.