The number of girls to the number of boys in Primary 5 Goodness was 3 : 5. The number of girls to the number of boys in Primary 5 Patience was 2 : 5. Both classes had the same number of girls. When 8 boys from Primary 5 Goodness joined Primary 5 Patience, the ratio of the number of girls to the number of boys in Primary 5 Goodness became 3 : 4. Find the total enrolment of both classes.
Primary 5 Goodness |
Primary 5 Patience |
Girls |
Boys |
Girls |
Boys |
3x2 |
5x2 |
2x3 |
5x3 |
1x6 |
|
1x6 |
|
6 u |
10 u |
6 u |
15 u |
The number of girls in both classes is the same. Make the number of girls the same. LCM of 3 and 2 is 6.
|
Primary 5 Goodness |
Primary 5 Patience |
|
Girls |
Boys |
Girls |
Boys |
Before |
6 u |
10 u |
6 u |
15 u |
Change |
|
- 8 |
|
+ 8 |
After |
3x2 = 6 u |
4x2 = 8 u |
6 u |
15 u + 8 |
The number of girls in Primary 5 Goodness remains unchanged. Make the number of girls in Primary 5 the same. LCM of 6 and 3 is 6.
Number of boys from Primary 5 Goodness that joined Primary 5 Patience
= 10 u - 8 u
= 2 u
2 u = 8
1 u = 8 ÷ 2 = 4
Total enrolment of both classes
= 6 u + 10 u + 6 u + 15 u
= 37 u
= 37 x 4
= 148
Answer(s): 148