The number of girls to the number of boys in Primary 5 Joy was 2 : 5. The number of girls to the number of boys in Primary 5 Goodness was 3 : 4. Both classes had the same number of girls. When 18 boys from Primary 5 Joy joined Primary 5 Goodness, the ratio of the number of girls to the number of boys in Primary 5 Joy became 2 : 3. Find the total enrolment of both classes.
Primary 5 Joy |
Primary 5 Goodness |
Girls |
Boys |
Girls |
Boys |
2x3 |
5x3 |
3x2 |
4x2 |
1x6 |
|
1x6 |
|
6 u |
15 u |
6 u |
8 u |
The number of girls in both classes is the same. Make the number of girls the same. LCM of 2 and 3 is 6.
|
Primary 5 Joy |
Primary 5 Goodness |
|
Girls |
Boys |
Girls |
Boys |
Before |
6 u |
15 u |
6 u |
8 u |
Change |
|
- 18 |
|
+ 18 |
After |
2x3 = 6 u |
3x3 = 9 u |
6 u |
8 u + 18 |
The number of girls in Primary 5 Joy remains unchanged. Make the number of girls in Primary 5 the same. LCM of 6 and 2 is 6.
Number of boys from Primary 5 Joy that joined Primary 5 Goodness
= 15 u - 9 u
= 6 u
6 u = 18
1 u = 18 ÷ 6 = 3
Total enrolment of both classes
= 6 u + 15 u + 6 u + 8 u
= 35 u
= 35 x 3
= 105
Answer(s): 105