A digital music playlist contains only rock songs and pop songs. At the beginning of the month, of the songs in the playlist were rock songs. During the month, the number of rock songs in the playlist increased by , and the number of pop songs in the playlist increased by . If there were rock songs in the playlist at the beginning of the month, what percent of the songs in the playlist at the end of the month were pop songs?
Answer: 45 %
Answer
The percent of the songs in the playlist at the end of the month that were pop songs is 45.
To find the final percentage of pop songs, we first determine the initial number of songs. Since rock songs represent of the playlist, the initial total is songs. This means there are pop songs initially. During the month, the rock songs increase by , yielding songs. The pop songs increase by , yielding songs. The final total number of songs is . The final percentage of pop songs is . Thus, the correct value to grid in is 45.
Step-by-Step Solution
Key Concept
Calculating absolute quantities from initial percentages, applying percentage increases to separate groups, and finding a new conditional percentage based on the final total.