The first performance in the USA of Mahler's eighth symphony took place in Philadelphia in 1916 with the participation of an orchestra, two choirs with the same number of members, a third children's choir and, in addition, eight guest soloists who did not belong to any of the choirs. One tenth of the total number of performers in the three choirs was 15 units less than the number of orchestra members. The members of each of the two non-children choirs exceeded by 140 units the sum of the children's choir and orchestra members. The number of orchestra members exceeded by 21 units one twelfth of the total number of performers. How many performers did the orchestra and each of the choirs have? How many performers were there in total?
The first performance in the USA of Mahler's eighth symphony took place in Philadelphia in 1916 with the participation of an orchestra, two choirs with the same number of members, a third children's choir and, in addition, eight guest soloists who did not belong to any of the choirs. One tenth of the total number of performers in the three choirs was 15 units less than the number of orchestra members. The members of each of the two non-children choirs exceeded by 140 units the sum of the children's choir and orchestra members. The number of orchestra members exceeded by 21 units one twelfth of the total number of performers. How many performers did the orchestra and each of the choirs have? How many performers were there in total?