Dagogo uploads $3$ videos on his channel every month. Each video averages $15$ minutes in length and gets an average of $150,000$ new views. The average ratio of likes-to-views of Dagogo's videos is $1:5$ . Dagogo wants to reach a total of $9,000,000$ views on his channel. $\newline$ Assuming these rates continue, how many likes does Dagogo get, on average, for each minute of video he uploads?

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Q. Dagogo uploads

3

videos on his channel every month. Each video averages

15

minutes in length and gets an average of

150,000

new views. The average ratio of likes-to-views of Dagogo's videos is

1:5

. Dagogo wants to reach a total of

9,000,000

views on his channel.

\newline

Assuming these rates continue, how many likes does Dagogo get, on average, for each minute of video he uploads?

Calculate Total Views: First, let's find out the total number of views Dagogo needs to reach his goal of $9,000,000$ views.
Calculate Monthly Views: Dagogo already gets $150,000$ views per video. Since he uploads $3$ videos a month, let's calculate the total views he gets in a month. $\newline$ Total monthly views = $3$ videos $\times$ $150,000$ views/video $\newline$ Total monthly views = $450,000$ views
Calculate Months Needed: Now, we need to find out how many months it will take for Dagogo to reach $9,000,000$ views. $\newline$ Months needed = Total goal views / Total monthly views $\newline$ Months needed = $9,000,000$ views / $450,000$ views/month $\newline$ Months needed = $20$ months
Calculate Total Likes: Next, let's calculate the total number of likes Dagogo gets. We know the ratio of likes-to-views is $1:5$ . $\newline$ Total likes = (Total goal views $/$ $5$ ) $\newline$ Total likes = ( $9,000,000$ views $/$ $5$ ) $\newline$ Total likes = $1,800,000$ likes
Calculate Total Video Length: Now, let's find out the total length of videos Dagogo will upload in those $20$ months. $\newline$ Total video length = $3$ videos/month $\times$ $15$ minutes/video $\times$ $20$ months $\newline$ Total video length = $900$ minutes
Calculate Likes per Minute: Finally, we calculate the average number of likes per minute of video. $\newline$ Likes per minute = Total likes / Total video length $\newline$ Likes per minute = $1,800,000$ likes / $900$ minutes $\newline$ Likes per minute = $2,000$ likes/minute