Mr Will wants to put all 20 boys and 62 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 Will can form with these conditions?
- How many pupils are in each group?
(a)
Factors of 20 = 1, 2, 4, 5, 10, 20
Factors of 62 = 1, 2, 31, 62
Greatest number of groups Mr Will can form
= Highest common factor of 20 and 62
= 2
(b)
Number of boys in each group = 20 ÷ 2 = 10
Number of girls in each group = 62 ÷ 2 = 31
Number of pupils in each group
= 10 + 31
= 41
Answer(s): (a) 2; (b) 41