The number of girls to the number of boys in Primary 6 Joy was 2 : 5. The number of girls to the number of boys in Primary 6 Faithfulness was 4 : 5. Both classes had the same number of girls. When 24 boys from Primary 6 Joy joined Primary 6 Faithfulness, the ratio of the number of girls to the number of boys in Primary 6 Joy became 2 : 3. Find the total enrolment of both classes.
Primary 6 Joy |
Primary 6 Faithfulness |
Girls |
Boys |
Girls |
Boys |
2x2 |
5x2 |
4x1 |
5x1 |
1x4 |
|
1x4 |
|
4 u |
10 u |
4 u |
5 u |
The number of girls in both classes is the same. Make the number of girls the same. LCM of 2 and 4 is 4.
|
Primary 6 Joy |
Primary 6 Faithfulness |
|
Girls |
Boys |
Girls |
Boys |
Before |
4 u |
10 u |
4 u |
5 u |
Change |
|
- 24 |
|
+ 24 |
After |
2x2 = 4 u |
3x2 = 6 u |
4 u |
5 u + 24 |
The number of girls in Primary 6 Joy remains unchanged. Make the number of girls in Primary 6 the same. LCM of 4 and 2 is 4.
Number of boys from Primary 6 Joy that joined Primary 6 Faithfulness
= 10 u - 6 u
= 4 u
4 u = 24
1 u = 24 ÷ 4 = 6
Total enrolment of both classes
= 4 u + 10 u + 4 u + 5 u
= 23 u
= 23 x 6
= 138
Answer(s): 138