PSLE The students of a test are divided equally into two groups. In the first group, there are 33 less girls than boys. In the second group, there are 11 less boys than girls. 40% of all the students are girls. How many students are there altogether?
|
First group |
Second group |
Total |
Comparison 1 |
50% |
50% |
100% |
Comparison 2 |
Boys (more) |
Girls (less) |
Boys (less)
|
Girls (more) |
|
|
1 u + 33 |
1 u |
1 u + 11 |
1 u + 11 + 11 |
|
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 + 33 + 1 u + 11
= 2 u + 44
Total number of girls
= 1 u + 1 u + 11 + 11
= 2 u + 22
Number of boys more than girls
= 44 - 22
= 22
20% of the students = 22
1% of the students = 22 ÷ 20 = 1.1
100% of the students
= 100 x 1.1
= 110
Number of students = 110
Answer(s): 110