Question

Jerome bought 15 videos from a department store. Some videos were new releases, x, which cost $19, and some videos were classics, y, which cost $8. He spent a total of $164 on the videos. Which system of equations is set up correctly to model this information?

Answer 1

The system of equations is

`x+y=15`

`19x+8y=164`

Explanation:

Let

x------> the number of videos of new releases

y-----> the number of classics videos

we know that

`x+y=15` ------> equation A

`19x+8y=164` ------> equation B

Using a graphing tool

Solve the system of equations

Remember that the solution of the system of equations is the intersection point both graphs

The intersection point is
`(4,11)`

see the attached figure

therefore

the number of videos of new releases is
`4`

the number of classics videos is
`11`

Answer 2

Jerome bought 15 videos from a department store. Some videos were new releases, x, which cost $19, and some videos were classics, y, which cost $8. He spent a total of $164 on the videos. Which system of equations is set up correctly to model this information?

x + y = 15. 19 x + 8 y = 164.

x + y = 15. 8 x + 19 y = 164.

x + y = 164. 19 x + 8 y = 15.

x + y = 15. 19 x minus 8 y = 164.

ANSWER IS A