PSLE The students of a test are divided equally into two groups. In the first group, there are 44 less boys than girls. In the second group, there are 4 less girls than boys. 30% of all the students are boys. How many students are there altogether?
|
First group |
Second group |
Total |
Comparison 1 |
50% |
50% |
100% |
Comparison 2 |
Girls (more) |
Boys (less) |
Girls (less)
|
Boys (more) |
|
|
1 u + 44 |
1 u |
1 u + 20 |
1 u + 20 + 4 |
|
Comparison 3 |
Total boys |
Total girls |
|
|
30% |
70% |
100% |
Number of students in the first group and the second group is equal.
Percentage of students who are girls
= 100% - 30%
= 70%
Percentage of more girls than boys
= 70% - 30%
= 40%
Total number of girls
= 1 u + 44 + 1 u + 20
= 2 u + 64
Total number of boys
= 1 u + 1 u + 20 + 4
= 2 u + 24
Number of girls more than boys
= 64 - 24
= 40
40% of the students = 40
1% of the students = 40 ÷ 40 = 1
100% of the students
= 100 x 1
= 100
Number of students = 100
Answer(s): 100