Mr Reggie wants to put all 38 girls and 84 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 Reggie can form with these conditions?
- How many students are in each group?
(a)
Factors of 38 = 1, 2, 19, 38
Factors of 84 = 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Greatest number of groups Mr Reggie can form
= Highest common factor of 38 and 84
= 2
(b)
Number of girls in each group = 38 ÷ 2 = 19
Number of boys in each group = 84 ÷ 2 = 42
Number of students in each group
= 19 + 42
= 61
Answer(s): (a) 2; (b) 61