25 Primary 5 pupils and 20 of Primary 6 pupils went on a school outing. The number of Primary 6 girls was 4 times the number of Primary 5 girls, and there were 14 less Primary 6 boys than Primary 5 boys. How many less Primary 6 boys than Primary 6 girls went on the school outing?
| Primary 5 |
Primary 6 |
| 25 |
20 |
| Girls |
Boys |
Girls |
Boys |
| 1 u |
1 p + 14 |
4 u |
1 p |
Total number of pupils in Primary 5 = 1 u + 1 p + 14
1 u + 1 p + 14 = 25
1 u + 1 p = 25 - 14
1 u + 1 p = 11 --- (1)
Total number of pupils in Primary 6 = 4 u + 1 p
4 u + 1 p = 20 --- (2)
(2) - (1)
(4 u + 1 p) - (1 u + 1 p) = 20 - 11
4 u - 1 u = 9
3 u = 9
1 u = 9 ÷ 3 = 3
Number of girls in Primary 6
= 4 u
= 4 x 3
= 12
Number of boys in Primary 6
= 1 p
= 20 - 4 u
= 20 - 12
= 8
Number of less boys than girls in Primary 6
= 12 - 8
= 4
Answer(s): 4
