PSLE The number of girls and boys taking part in a contest are in the ratio 7 : 8. These students are put into two teams. 60% of the girls and 20% of the boys are in Team L. The rest of the students are in Team M.
- What is the ratio of the number of students in Team M to Team L? Give your answer in the simplest form.
- The number of girls in Team M is fewer than 90. What is the largest possible total number of students taking part in the contest?
Girls |
Boys |
70 u |
80 u |
Team L |
Team M |
Team L |
Team M |
42 u |
28 u |
16 u |
64 u |
(a)
Girls : Boys
7 : 8
70 : 80
Number of girls in Team L
= 60% x 70 u
=
60100 x 70 u
= 42 u
Number of girls in Team M
= 70 u - 42 u
= 28 u
Number of boys in Team L
= 20% x 80 u
=
20100 x 80 u
= 16 u
Number of boys in Team M
= 80 u - 16 u
= 64 u
Team M : Team L
28 + 64 : 42 + 16
92 : 58
(÷2)46 : 29
(b)
Number of girls in Team M = 28 u
Since the number of girls in Team M is 28 u, it must be multiple of 28.
Number of sets of 28
= 90 ÷ 28
= 3 r 6
Since the number of girls in Team M is less than 90, the number of sets must be 3.
1 u = 3
Largest possible number of students
= 70 u + 80 u
= 150 u
= 150 x 3
= 450
Answer(s): (a) 46 : 29; (b) 450