14 Primary 1 students and 10 of Primary 2 students went on a school oversea trip. The number of Primary 2 girls was 3 times the number of Primary 1 girls, and there were 10 more Primary 1 boys than Primary 2 boys. How many more Primary 2 girls than Primary 2 boys went on the school oversea trip?
Primary 1 |
Primary 2 |
14 |
10 |
Girls |
Boys |
Girls |
Boys |
1 u |
1 p + 10 |
3 u |
1 p |
Total number of students in Primary 1 = 1 u + 1 p + 10
1 u + 1 p + 10 = 14
1 u + 1 p = 14 - 10
1 u + 1 p = 4 --- (1)
Total number of students in Primary 2 = 3 u + 1 p
3 u + 1 p = 10 --- (2)
(2) - (1)
(3 u + 1 p) - (1 u + 1 p) = 10 - 4
3 u - 1 u = 6
2 u = 6
1 u = 6 ÷ 2 = 3
Number of girls in Primary 2
= 3 u
= 3 x 3
= 9
Number of boys in Primary 2
= 1 p
= 10 - 3 u
= 10 - 9
= 1
Number of more girls than boys in Primary 2
= 9 - 1
= 8
Answer(s): 8