PSLE The students at a sports meet are divided in Team A and Team B. The ratio of the number of boys to girls in Team A is 6 : 1. The ratio of the number of boys to girls in Team B is 13 : 1. There are 4 times as many students in Team B as in Team A. There are 80 more boys in Team B than Team A. What is the total number of students?
Team A |
Team B |
7 u |
14x2 = 28 u |
Boys |
Girls |
Boys |
Girls |
6 u |
1 u |
13x2 = 26 u |
1x2 = 2 u
|
Total number of students in Team A
= 6 u + 1 u
= 7 u
Total number of students in Team B
= 4 x 7 u
= 28 u
The total number of students in Team B is repeated.
Use LCM to make the total number of students in Team B the same.
LCM of 28 and 14 is 28.
Number of more boys in Team B than Team A
= 26 u - 6 u
= 20 u
20 u = 80
1 u = 80 ÷ 20 = 4
Total number of students
= 6 u + 1 u + 26 u + 2 u
= 35 u
= 35 x 4
= 140
Answer(s): 140