Please help solve this question, with a nice explanation.
Thanks in advance.
Nick, Ryan, Simon, and James from the band Dandelion sang a few songs at their first concert.
Always three of them were singing, and one was playing the guitar in accompaniment. James
sang the most songs of all of them – 8. Ryan sang 5 songs, which was fewer than anyone else from the group. How many songs did Dandelion sing at their first concert?
(A) 8 (B) 9 (C) 10 (D) 13 (E) 26
To solve this question, we need to determine the total number of songs that Dandelion sang at their first concert.
We know that always three band members were singing, and one was playing the guitar in accompaniment. Since there are four band members, each member would have a turn playing the guitar during the concert. So, if we find the total number of songs sung by each band member, we can add them together to get the answer.
James sang the most songs with 8, and Ryan sang the fewest with 5. Since there are only four band members and James sang the most, it means that there must be at least 8 songs in total, as James would have had to sing in every performance.
To find the remaining songs, we can subtract the songs sung by James and Ryan from the total number of songs.
Total songs = (Songs sung by James) + (Songs sung by Ryan) + (Songs sung by other band members)
Songs sung by James = 8
Songs sung by Ryan = 5
Remaining songs = Total songs - (Songs sung by James) - (Songs sung by Ryan)
Remaining songs = Total songs - 8 - 5
Since the question doesn't provide any information about the exact number of songs sung by other band members, we cannot determine the exact total number of songs Dandelion sang at their first concert.
However, we do know that the total songs sung by the band must be at least 8 + 5 = 13, since James sang the most and Ryan sang the fewest. Therefore, the only option from the given choices that is equal to or greater than 13 is (D) 13.
So, the answer is (D) 13, although we cannot determine the exact number of songs without more information.