Question

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?

Answer 1

each song downloaded costs 3 points

each video costs 40 points

total of 999 points

if each song cost 3 points and she has 999 points to use she can download 333 songs at max

Answer 2

The most number of song she can get is 333.

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.