PSLE The students of a test are divided equally into two groups. In the first group, there are 75 more boys than girls. In the second group, there are 37 more girls than boys. 40% of all the students are girls. How many students are boys?
|
First group |
Second group |
Total |
Comparison 1 |
50% |
50% |
100% |
Comparison 2 |
Boys (more) |
Girls (less)
|
Boys (less)
|
Girls (more) |
|
|
1 u + 75 |
1 u |
1 u + 19 |
1 u + 19 + 37 |
|
Comparison 3 |
Total girls |
Total boys |
|
|
40% |
60% |
100% |
Number of students in the first group and the second group is equal.
Percentage of students who are boys
= 100% - 40%
= 60%
Percentage of more boys than girls
= 60% - 40%
= 20%
Total number of boys
= 1 u + 75 + 1 u + 19
= 2 u + 94
Total number of girls
= 1 u + 1 u + 19 + 37
= 2 u + 56
Number of boys more than girls
= 94 - 56
= 38
20% of the students = 38
1% of the students = 38 ÷ 20 = 1.9
60% of the students
= 60 x 1.9
= 114
Number of students that are boys = 114
Answer(s): 114