Kendra was given three gift certificates for her birthday, 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. what is the most songs that kendra can get with her certificates if she doesn’t buy any videos?

The most number of song she can get is 333.

Step-by-step explanation:

Let x represents the points required for downloading a song and y represents the points required for a video,

Given,

The points required for five songs and seven videos is 295.

⇒ 5x + 7y = 295 (1)

Also, the points required for ten songs and three videos is 150.

⇒ 10x + 3y = 150 (2),

For finding the value of x we need to cancel out the value of y,

For this, 7 × Equation  (2) - 3 × equation (1),

We get,

55x = 165

x = 3

Hence, we need 3 points for downloading a song,

Since, we have 3 gift certificates, each worths 333 points

So, the total points = 3 × 333 = 999

Let s be the number of songs downloads by 999 points,

We can write,

3s = 999

⇒ s = 333

Therefore, maximum 333 songs can get with the certificates.

step-by-step explanation:

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