Ashley and liam both have playlists on their music apps.

Question

the number of playlists on Ashley app can be represented by a.
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 combined is at least 45.

which inequality can be used to determine the number of playlists in Ashley's app

Ashleys app has blank 9 playlists

Answer 1

To represent the situation mathematically:

Let \( a \) be the number of playlists on Ashley's app.

Since the number of playlists on Liam's app is 4 times the number of playlists on Ashley's app, we can express that as \( 4a \).

According to the problem, the total number of playlists on both apps combined is at least 45. Therefore, we can write the following inequality:

\[ a + 4a \geq 45 \]

Combine like terms:

\[ 5a \geq 45 \]

Now, divide both sides by 5 to solve for \( a \):

\[ a \geq 9 \]

This means that the number of playlists on Ashley's app must be at least 9.

To answer your question, the inequality that can be used to determine the number of playlists in Ashley's app is:

\[ a \geq 9 \]

Thus, Ashley's app has at least 9 playlists.