PSLE The number of boys and girls taking part in a quiz are in the ratio 4 : 7. These students are put into two teams. 60% of the boys and 30% of the girls are in Team G. The rest of the students are in Team H.
- What is the ratio of the number of students in Team H to Team G? Give your answer in the simplest form.
- The number of boys in Team H is fewer than 50. What is the largest possible total number of students taking part in the quiz?
Boys |
Girls |
40 u |
70 u |
Team G |
Team H |
Team G |
Team H |
24 u |
16 u |
21 u |
49 u |
(a)
Boys : Girls
4 : 7
40 : 70
Number of boys in Team G
= 60% x 40 u
=
60100 x 40 u
= 24 u
Number of boys in Team H
= 40 u - 24 u
= 16 u
Number of girls in Team G
= 30% x 70 u
=
30100 x 70 u
= 21 u
Number of girls in Team H
= 70 u - 21 u
= 49 u
Team H : Team G
16 + 49 : 24 + 21
65 : 45
(÷5)13 : 9
(b)
Number of boys in Team H = 16 u
Since the number of boys in Team H is 16 u, it must be multiple of 16.
Number of sets of 16
= 50 ÷ 16
= 3 r 2
Since the number of boys in Team H is less than 50, the number of sets must be 3.
1 u = 3
Largest possible number of students
= 40 u + 70 u
= 110 u
= 110 x 3
= 330
Answer(s): (a) 13 : 9; (b) 330