Question

You created a new playlist, and 80 of your friends listened to it and shared if they liked the new playlist or not. Nahdii said the ratio of the number of people who liked the playlist to the number of people who did not like the playlist is 60:20. Dylan

said that for every three people who liked the playlist, one person did not. Do Nadbii and Dylan agree? Prove your answer using the values of the ratios. Show your work using Equatio.

Answer 1

To determine if Nahdii and Dylan agree, we compare their ratios. Nahdii's ratio is 60:20 and Dylan's ratio is 3:1. We find that Nahdii and Dylan do not agree.

Step-by-step explanation:

To determine if Nahdii and Dylan agree we can compare their statements. Nahdii said that the ratio of people who liked the playlist to those who didn't like it is 60:20. This means that out of every 80 people, 60 liked the playlist and 20 didn't. Dylan said that for every three people who liked the playlist, one person didn't. Let's see if this ratio matches Nahdii's ratio:

Number of people who liked the playlist = 3 * 60 = 180

Number of people who didn't like the playlist = 1 * 60 = 60

Therefore, Nahdii and Dylan do NOT agree. According to Nahdii's ratio, there are 20 people who didn't like the playlist, but according to Dylan's ratio, there are only 60 people. These ratios don't match, so they don't agree.