23 Primary 5 students and 15 of Primary 6 students went on a school excursion. The number of Primary 6 girls was 3 times the number of Primary 5 girls, and there were 14 more Primary 5 boys than Primary 6 boys. How many more Primary 6 girls than Primary 6 boys went on the school excursion?
| Primary 5 |
Primary 6 |
| 23 |
15 |
| Girls |
Boys |
Girls |
Boys |
| 1 u |
1 p + 14 |
3 u |
1 p |
Total number of students in Primary 5 = 1 u + 1 p + 14
1 u + 1 p + 14 = 23
1 u + 1 p = 23 - 14
1 u + 1 p = 9 --- (1)
Total number of students in Primary 6 = 3 u + 1 p
3 u + 1 p = 15 --- (2)
(2) - (1)
(3 u + 1 p) - (1 u + 1 p) = 15 - 9
3 u - 1 u = 6
2 u = 6
1 u = 6 ÷ 2 = 3
Number of girls in Primary 6
= 3 u
= 3 x 3
= 9
Number of boys in Primary 6
= 1 p
= 15 - 3 u
= 15 - 9
= 6
Number of more girls than boys in Primary 6
= 9 - 6
= 3
Answer(s): 3
