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Mathematics 9 Online
OpenStudy (diana.xl):

For her birthday Kendra is given three gift certificates, each worth 333 points, for a music service. In the past Kendra has downloaded five songs and seven videos for a total of 295 points. Another time, she downloaded ten songs and three videos for a total of 150 points. What is the most songs that Kendra can get with her certificates if she doesn’t buy any videos? 40 songs 70 songs 333 songs 550 songs

OpenStudy (diana.xl):

is 333 songs correct?

OpenStudy (diana.xl):

@hartnn

OpenStudy (anonymous):

I dont think so

OpenStudy (anonymous):

550? is that correct?

OpenStudy (diana.xl):

@johnweldon1993

OpenStudy (johnweldon1993):

This is a system of equation...we just need to solve for the variables Lets songs = s and videos = v So \[\large 5s + 7v = 295\] \[\large 10s + 3v = 150\] solve for 's' and 'v'

OpenStudy (johnweldon1993):

Well actually...just solve for 's' since we only care about the songs

OpenStudy (diana.xl):

s=3 v=40

OpenStudy (diana.xl):

@johnweldon1993

OpenStudy (johnweldon1993):

Perfect, now what does that tell you? It tells us that each song downloaded costs 3 points and each video costs 40 points Good! Now...we know she has a total of 999 points So if each song cost 3 points...and she has 999 points to use....then yes you are correct as she can download 333 songs at max

OpenStudy (diana.xl):

Thank u!

OpenStudy (johnweldon1993):

No problem :)

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