Mr Daniel wants to put all 22 boys and 66 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 Daniel can form with these conditions?
- How many students are in each group?
(a)
Factors of 22 = 1, 2, 11, 22
Factors of 66 = 1, 2, 3, 6, 11, 22, 33, 66
Greatest number of groups Mr Daniel can form
= Highest common factor of 22 and 66
= 22
(b)
Number of boys in each group = 22 ÷ 22 = 1
Number of girls in each group = 66 ÷ 22 = 3
Number of students in each group
= 1 + 3
= 4
Answer(s): (a) 22; (b) 4