Mr Carl wants to put all 22 boys and 54 girls into groups for an activity. There are more girls than boys in each group. Each group must have the same number of boys. Each group must also have the same number of girls.
- What is the greatest number of groups Mr Carl can form with these conditions?
- How many students are in each group?
(a)
Factors of 22 = 1, 2, 11, 22
Factors of 54 = 1, 2, 3, 6, 9, 18, 27, 54
Greatest number of groups Mr Carl can form
= Highest common factor of 22 and 54
= 2
(b)
Number of boys in each group = 22 ÷ 2 = 11
Number of girls in each group = 54 ÷ 2 = 27
Number of students in each group
= 11 + 27
= 38
Answer(s): (a) 2; (b) 38