Jenny has 177 more songs downloaded on her MP3 player than diamond together they have 895 songs download what system of equation could be used to determine how many songs each girl has downloaded

Respuesta :

895/2=447.5
447.5-177=270.5
447.5+177=654.5

diamond has 270.5
and
jenny has 654.5

Answer: Jenny downloaded 536 and Diamond downloaded 359 MP3 songs.

Step-by-step explanation:

Let x and y are the number of MP3 songs downloaded by Jenny and Diamond respectively.

Then from the given question ,we have the following statements :

[tex]x-y=177................(1)\\\\x+y=895.................(2)[/tex]

Now to solve the system of equations, add both the equations, we get

[tex]2x=1072\\\\\Rightarrow\ x=\dfrac{1072}{2}=536[/tex]

Then , using equation (1), we get

[tex]y=x-177=359[/tex]

Hence, Jenny downloaded 536 and Diamond downloaded 359 MP3 songs.

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