22 Primary 5 students and 19 of Primary 6 students went on a school outing. The number of Primary 6 boys was 3 times the number of Primary 5 boys, and there were 13 more Primary 5 girls than Primary 6 girls. How many more Primary 6 boys than Primary 6 girls went on the school outing?
| Primary 5 |
Primary 6 |
| 22 |
19 |
| Boys |
Girls |
Boys |
Girls |
| 1 u |
1 p + 13 |
3 u |
1 p |
Total number of students in Primary 5 = 1 u + 1 p + 13
1 u + 1 p + 13 = 22
1 u + 1 p = 22 - 13
1 u + 1 p = 9 --- (1)
Total number of students in Primary 6 = 3 u + 1 p
3 u + 1 p = 19 --- (2)
(2) - (1)
(3 u + 1 p) - (1 u + 1 p) = 19 - 9
3 u - 1 u = 10
2 u = 10
1 u = 10 ÷ 2 = 5
Number of boys in Primary 6
= 3 u
= 3 x 5
= 15
Number of girls in Primary 6
= 1 p
= 19 - 3 u
= 19 - 15
= 4
Number of more boys than girls in Primary 6
= 15 - 4
= 11
Answer(s): 11
