PSLE The students of a test are divided equally into two groups. In the first group, there are 93 less boys than girls. In the second group, there are 55 less girls than boys. 40% 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 + 93 |
1 u |
1 u + 19 |
1 u + 19 + 55 |
|
Comparison 3 |
Total boys |
Total girls |
|
|
40% |
60% |
100% |
Number of students in the first group and the second group is equal.
Percentage of students who are girls
= 100% - 40%
= 60%
Percentage of more girls than boys
= 60% - 40%
= 20%
Total number of girls
= 1 u + 93 + 1 u + 19
= 2 u + 112
Total number of boys
= 1 u + 1 u + 19 + 55
= 2 u + 74
Number of girls more than boys
= 112 - 74
= 38
20% of the students = 38
1% of the students = 38 ÷ 20 = 1.9
100% of the students
= 100 x 1.9
= 190
Number of students = 190
Answer(s): 190