22 Primary 1 students and 16 of Primary 2 students went on a school excursion. The number of Primary 2 girls was 5 times the number of Primary 1 girls, and there were 18 more Primary 1 boys than Primary 2 boys. How many more Primary 2 girls than Primary 2 boys went on the school excursion?
| Primary 1 |
Primary 2 |
| 22 |
16 |
| Girls |
Boys |
Girls |
Boys |
| 1 u |
1 p + 18 |
5 u |
1 p |
Total number of students in Primary 1 = 1 u + 1 p + 18
1 u + 1 p + 18 = 22
1 u + 1 p = 22 - 18
1 u + 1 p = 4 --- (1)
Total number of students in Primary 2 = 5 u + 1 p
5 u + 1 p = 16 --- (2)
(2) - (1)
(5 u + 1 p) - (1 u + 1 p) = 16 - 4
5 u - 1 u = 12
4 u = 12
1 u = 12 ÷ 4 = 3
Number of girls in Primary 2
= 5 u
= 5 x 3
= 15
Number of boys in Primary 2
= 1 p
= 16 - 5 u
= 16 - 15
= 1
Number of more girls than boys in Primary 2
= 15 - 1
= 14
Answer(s): 14
