Mr Albert wants to put all 20 girls and 70 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 Albert can form with these conditions?
- How many students are in each group?
(a)
Factors of 20 = 1, 2, 4, 5, 10, 20
Factors of 70 = 1, 2, 5, 7, 10, 14, 35, 70
Greatest number of groups Mr Albert can form
= Highest common factor of 20 and 70
= 10
(b)
Number of girls in each group = 20 ÷ 10 = 2
Number of boys in each group = 70 ÷ 10 = 7
Number of students in each group
= 2 + 7
= 9
Answer(s): (a) 10; (b) 9