Mr Tommy wants to put all 22 girls and 90 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 Tommy can form with these conditions?
- How many pupils are in each group?
(a)
Factors of 22 = 1, 2, 11, 22
Factors of 90 = 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Greatest number of groups Mr Tommy can form
= Highest common factor of 22 and 90
= 2
(b)
Number of girls in each group = 22 ÷ 2 = 11
Number of boys in each group = 90 ÷ 2 = 45
Number of pupils in each group
= 11 + 45
= 56
Answer(s): (a) 2; (b) 56