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.(1 point
Let c be the cost of one guitar pick.
The cost of 25 guitar picks is therefore 25*c.
The cost of 25 guitar strings is (25*c) + 1.
The total cost of the guitar picks and strings is 25*c + (25*c + 1), which is equal to $40.
Combining like terms, we get 50*c + 1 = $40.
Subtracting 1 from both sides, we get 50*c = $39.
Dividing both sides by 50, we get c = $0.78.
Therefore, the cost of one guitar string is (25*0.78) + 1 = $19.50 + 1 = $20.50. Answer: \boxed{20.50}.
Fill in the spaces to solve each step of the problem 1/4(x+3)=5 .(2 points)
Step 1: (blank)1/4(x+3)=5(blank).
Step 2: x+3= blank
Step 3: Subtract blank from both sides.
Step 4: x= blank
Step 1: (Multiply both sides by 4) 1/4(x+3) * 4 = 5 * 4.
Step 2: (Distribute on the left side) x + 3 = 20.
Step 3: (Subtract 3 from both sides) x + 3 - 3 = 20 - 3.
Step 4: (Simplify) x = 17.