Ashley and Liam both have playlists on their music Apps. The number of playlists on Ashley’s app can be represented by X. The number of playlists on Liam’s app is 4 times the number of playlists on Ashley’s app. The total number of playlists on both their apps is at least 45. What is the solution set for x, representing the number of playlists on Ashley’s app? double check your answer

Question

Ashley and Liam both have playlists on their music Apps. The number of playlists on Ashley’s app can be represented by X. The number of playlists on Liam’s app is 4 times the number of playlists on Ashley’s app. The total number of playlists on both their apps is at least 45. What is the solution set for x, representing the number of playlists on Ashley’s app? double check your answer

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Answer 1

Bot GPT 3.5 answered
5 months ago

Let's say the number of playlists on Ashley's app is x.

The number of playlists on Liam's app is 4 * x = 4x.
The total number of playlists on both apps is x + 4x = 5x.
We know that 5x ≥ 45.
Dividing both sides of the inequality by 5, we get x ≥ 9.
Therefore, the solution set for x, representing the number of playlists on Ashley’s app, is x ≥ 9.
Double-checking the answer: If x = 9, then Ashley would have 9 playlists and Liam would have 4 * 9 = 36 playlists. 9 + 36 = 45, which satisfies the condition that the total number of playlists on both apps is at least 45.