Adventure Play sells an mp3 player for $18.00 and charges $3.25 per song. King Music sells a player for $23.00 and charges $2.00 per song. For how many songs will the cost be the same?

System of equations. Start by writing the equation for each one.
For Adventure Play, 18 is the y-intercept (b) and the slope is 3.25 (m).
y = mx + b
y = 3.25x + 18
For King Music, 23 is the y-intercept and the slope is 2.
y = 2x +23
Since they both equal y, you can set them equal to each other and solve.
2x + 23 = 3.25x + 18
Get x on one side and a variable-free quantity on the other.
3.25x - 2x = 23 - 18
Simplify
1.25x = 5
Then divide both sides by 1.25 to get x by itself.
x = 5/1.25
x = 4
For four songs, the cost will be the same.

ahirohit963 ahirohit963 · Answer 2 · 2021-11-25T08:59:40+01:00

The total number of songs is 4 at which the total cost be the same and this can be determined by forming the linear equation in two variables.

Given :

Adventure Play sells an mp3 player for $18.00 and charges $3.25 per song.
King Music sells a player for $23.00 and charges $2.00 per song.

Let the total number of songs be 'x' and the total cost be 'y'. Now, Adventure Play sells an mp3 player for $18.00 and charges $3.25 per song sp the total cost is given by:

y = 18 + 3.25x --- (1)

Also given that King Music sells a player for $23.00 and charges $2.00 per song so, the total cost is:

y = 23 + 2x --- (2)

Given the total cost will be the same, that is, equate equations (1) and (2).

23 + 2x = 18 + 3.25x

Simplify the above equation in order to determine the value of 'x'.

23 - 18 = 3.25x - 2x

5 = 1.25x

x = 4

So, the total number of songs is 4 at which the total cost be the same.

For more information, refer to the link given below:

https://brainly.com/question/11897796