Mr Daniel wants to put all 36 girls and 81 boys into groups for an activity. There are more boys than girls in each group. Each group must have the same number of girls. Each group must also have the same number of boys.
- What is the greatest number of groups Mr Daniel can form with these conditions?
- How many pupils are in each group?
(a)
Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36
Factors of 81 = 1, 3, 9, 27, 81
Greatest number of groups Mr Daniel can form
= Highest common factor of 36 and 81
= 9
(b)
Number of girls in each group = 36 ÷ 9 = 4
Number of boys in each group = 81 ÷ 9 = 9
Number of pupils in each group
= 4 + 9
= 13
Answer(s): (a) 9; (b) 13