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

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

Well, let's do some math here. We know that Patrick bought 25 guitar picks for c dollars each, and 25 guitar strings that cost $1 more than the guitar picks.

So, the total cost of the guitar picks is 25c dollars.

Since the guitar strings cost $1 more than the guitar picks, we can say that the cost of each guitar string is 25c + $1.

Now, we know that Patrick spent a total of $40, so we can set up an equation:

25c + (25c + $1) = $40

This simplifies to:

50c + $1 = $40

Now, let's isolate c by subtracting $1 from both sides:

50c = $39

Finally, we can divide both sides by 50 to find the cost of one guitar pick:

c = $39/50

So, the cost of one guitar pick is $39/50.

But wait, I forgot to use some humor! Why did the guitar picks go on strike? Because they wanted more "picks" from the profits!

Answer 2

cost of 1 pics --- x

cost of strings ---- x+1

25x + 25(x+1) = 40
50x + 25 = 40
50x = 15
x = .30

so each pick costs 30 cents and strings cost $1.30

check:
25(.30) + 25(1.30)
= 7.50 + 32.50 = 40

Answer 3

so first, the equation is 25(x + 1) = 40 because he bought 25 of both.

divide 40 divided by 25 = 1.6

Then subtract 1.6 by 1 = 0.6

the answer is $0.6

I am taking the test rn so pls correct me if im wrong

Answer 4

the answer is 0.3

Answer 5

To find the cost of one guitar string, we need to set up an equation based on the information given.

Let's assume that the cost of one guitar pick is "c" dollars.

According to the question, Patrick bought 25 guitar picks and 25 guitar strings, and the cost of the guitar strings is $1 more than the guitar picks. Therefore, the cost of 25 guitar strings would be (25 * c) + $1.

In total, Patrick spent $40. So we can write the equation:

25c + 25(c + $1) = $40

Now, let's solve this equation to find the value of c and then determine the cost of one guitar string.

Answer 6

Let's assume that the cost of one guitar pick is represented by "c".

According to the given information, Patrick bought 25 guitar picks, so the total cost of the guitar picks is 25c.

It is also given that Patrick bought 25 guitar strings, and they cost $1 more than the guitar picks. Therefore, the cost of 25 guitar strings will be (25c + 25).

The total amount spent by Patrick on guitar picks and guitar strings is $40. So we can set up the following equation:

25c + (25c + 25) = 40

Combining like terms, we have:

50c + 25 = 40

Subtracting 25 from both sides of the equation, we get:

50c = 15

Dividing both sides by 50, we find:

c = 15/50

Reducing the fraction, we get:

c = 3/10

Therefore, the cost of one guitar pick (represented by "c") is $3/10.

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

$3/10 + $1 = $3/10 + $10/10 = $13/10.

Therefore, the cost of one guitar string is $13/10.