Mr Albert wants to put all 30 boys and 80 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 Albert can form with these conditions?
- How many pupils are in each group?
(a)
Factors of 30 = 1, 2, 3, 5, 6, 10, 15, 30
Factors of 80 = 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Greatest number of groups Mr Albert can form
= Highest common factor of 30 and 80
= 10
(b)
Number of boys in each group = 30 ÷ 10 = 3
Number of girls in each group = 80 ÷ 10 = 8
Number of pupils in each group
= 3 + 8
= 11
Answer(s): (a) 10; (b) 11