Mr Zeph wants to put all 33 boys and 87 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 Zeph can form with these conditions?
- How many students are in each group?
(a)
Factors of 33 = 1, 3, 11, 33
Factors of 87 = 1, 3, 29, 87
Greatest number of groups Mr Zeph can form
= Highest common factor of 33 and 87
= 3
(b)
Number of boys in each group = 33 ÷ 3 = 11
Number of girls in each group = 87 ÷ 3 = 29
Number of students in each group
= 11 + 29
= 40
Answer(s): (a) 3; (b) 40