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?

Question

24-07-2017
Mathematics

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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?

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calculista calculista · Answer 1 · 2019-03-03T04:35:34+01:00

Answer:

The system of equations is

[tex]x+y=15[/tex]

[tex]19x+8y=164[/tex]

Step-by-step explanation:

Let

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

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

we know that

[tex]x+y=15[/tex] ------> equation A

[tex]19x+8y=164[/tex] ------> 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 [tex](4,11)[/tex]

see the attached figure

therefore

the number of videos of new releases is [tex]4[/tex]

the number of classics videos is [tex]11[/tex]

3sspam 3sspam · Answer 2 · 2020-06-13T23:54:50+02:00

3sspam 3sspam

13-06-2020

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

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