The number of girls to the number of boys in Primary 3 Goodness was 2 : 5. The number of girls to the number of boys in Primary 3 Gentleness was 3 : 5. Both classes had the same number of girls. When 14 boys from Primary 3 Goodness joined Primary 3 Gentleness, the ratio of the number of girls to the number of boys in Primary 3 Goodness became 3 : 4. Find the total enrolment of both classes.
Primary 3 Goodness |
Primary 3 Gentleness |
Girls |
Boys |
Girls |
Boys |
2x3 |
5x3 |
3x2 |
5x2 |
1x6 |
|
1x6 |
|
6 u |
15 u |
6 u |
10 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 3 Goodness |
Primary 3 Gentleness |
|
Girls |
Boys |
Girls |
Boys |
Before |
6 u |
15 u |
6 u |
10 u |
Change |
|
- 14 |
|
+ 14 |
After |
3x2 = 6 u |
4x2 = 8 u |
6 u |
10 u + 14 |
The number of girls in Primary 3 Goodness remains unchanged. Make the number of girls in Primary 3 the same. LCM of 6 and 3 is 6.
Number of boys from Primary 3 Goodness that joined Primary 3 Gentleness
= 15 u - 8 u
= 7 u
7 u = 14
1 u = 14 ÷ 7 = 2
Total enrolment of both classes
= 6 u + 15 u + 6 u + 10 u
= 37 u
= 37 x 2
= 74
Answer(s): 74