Final answer:
To determine the number of songs on Hank's phone, we set the variable N for the number of songs on Hank's phone and established an equation based on the given information: 5N equals 600. Solving this equation, we find that Hank's phone contains 120 songs.
Step-by-step explanation:
The question asks us to find the number of songs on Hank's phone, given that Eva's phone has four times the number of songs as Hank's phone and the total number of songs on both phones is 600. Let's denote the number of songs on Hank's phone as N.
According to the problem, we have:
- Eva's phone: 4N songs
- Hank's phone: N songs
- Total number of songs: N + 4N = 600 songs
Combining the songs on both phones, we have:
5N = 600 songs
To find the number of songs on Hank's phone, we divide both sides by 5:
N = 600 / 5
N = 120 songs
Hence, there are 120 songs on Hank's phone.