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

Answer:

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

Answer 2

Answer:

The system of equations is

$x+y=15$

$19x+8y=164$

Step-by-step 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 $11$