Mr Owen wants to put all 40 girls and 58 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 Owen can form with these conditions?
- How many pupils are in each group?
(a)
Factors of 40 = 1, 2, 4, 5, 8, 10, 20, 40
Factors of 58 = 1, 2, 29, 58
Greatest number of groups Mr Owen can form
= Highest common factor of 40 and 58
= 2
(b)
Number of girls in each group = 40 ÷ 2 = 20
Number of boys in each group = 58 ÷ 2 = 29
Number of pupils in each group
= 20 + 29
= 49
Answer(s): (a) 2; (b) 49