Mr Mark wants to put all 34 girls and 78 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 Mark can form with these conditions?
- How many pupils are in each group?
(a)
Factors of 34 = 1, 2, 17, 34
Factors of 78 = 1, 2, 3, 6, 13, 26, 39, 78
Greatest number of groups Mr Mark can form
= Highest common factor of 34 and 78
= 2
(b)
Number of girls in each group = 34 ÷ 2 = 17
Number of boys in each group = 78 ÷ 2 = 39
Number of pupils in each group
= 17 + 39
= 56
Answer(s): (a) 2; (b) 56