Answer:
a) 6:15 or 2:5 (simplified)
b) 9:30 or 3:10 (simplified)
c) For every 30 songs that Juan downloaded, 9 were hip-hop. OR For every 10 songs Juan downloaded, 3 were hip-hop.
Step-by-step explanation:
A ratio compares the relationship of different values in relation to each other.
- For part a, we have to see the number of rap songs there are and the number of pop songs there are. According to the chart, there are 6 rap songs and 15 pop songs. Since the question asks for rap songs and then pop songs, the answer must be in this order. The answer would be 6:15. However, we know from multiplication and division that 3 is a multiple of both of these numbers. If both numbers are divided by 3, and therefore simplified, the answer would then be 2:5.
- For part b, we have to see the number of hip-hop songs there are and the number of total there are. Since the question asks for hip-hop songs and then total number of songs, the answer must be in this order. According to the chart, there are 9 hip-hop songs, but we cannot immediately find the total number of songs. To find this, we must add all of the songs together, which is 9 hip-hop+15 pop+6 rap=30 total songs. So, the answer is 9:30. 3 is a multiple of both of these values, so they can both be divided by 3 to get a simplified answer of 3:10.
- The sentence in the answer describes the ratio of 9:30 (or 3:10). It also describes the total number of songs compared to how many hip-hop songs Juan downloaded.
**I added the non-simplified and simplified answers because I do not know what your teacher is looking for. You should use either of the answers depending on what your teacher asks you for.
