A group of 91 pupils decided to form groups of 6 in order to take part in a game.
- How many pupils were not involved in the game because they could not belong to a group?
- In order for everyone to participate in the game, the 91 pupils decided to increase the number of groups from the existing group arrangement. What is the minimum number of pupils in each group such that everyone would belong to a group?
(a)
Number of pupil that formed groups
= 91 ÷ 6
= 15 r 1
Number of pupils that were not involved in the game
= 1
(b)
Factors of 91 = 1, 7, 13, 91
Minimum number of pupils in each group such that everyone would belong to a group
= 7
Answer(s): (a) 1; (b) 7