Question

On a website, listeners rate music from 1 star to 5 stars. One song was rated 1 star by 3.5% of the listeners. There were 49 listeners who rated that song with 1 star. How many total listeners rated the song? answer ASAP

Answer 1

By setting up a proportion using the given percentage (3.5%) and the number of 1-star ratings (49), we determine that a total of 1400 listeners rated the song.

Step-by-step explanation:

To find the total number of listeners who rated the song, we need to use the percentage that represents those who rated it with 1 star. If 3.5% of the listeners gave the song a 1-star rating, and there were 49 listeners who gave this rating, we can set up a proportion to solve for the total number of listeners (which we'll call T).

First, let's translate 3.5% into a decimal by dividing by 100, which gives us 0.035. The proportion is then 0.035 = 49/T. To solve for T, we multiply both sides by T to get 0.035T = 49. Then, we divide both sides by 0.035 to isolate T on one side of the equation, yielding T = 49/0.035.

Upon calculating, we find that T = 1400. Therefore, there were a total of 1400 listeners who rated the song.

Answer 2

1400

Step-by-step explanation:

3.5% of listeners rated the song as 1 star

49 listeners rated the song as 1 star

49 listeners = 3.5% of listeners

we want to find 100% of listeners. we can do this by multiplying both sides of the equation by 100/3.5, getting one side to 100% and the other to what it is equal to

49 * 100/3.5 listeners = 100% of listeners = 1400