24 Primary 5 pupils and 20 of Primary 6 pupils went on a school camp. 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 camp?
Primary 5 |
Primary 6 |
24 |
20 |
Girls |
Boys |
Girls |
Boys |
1 u |
1 p + 14 |
3 u |
1 p |
Total number of pupils in Primary 5 = 1 u + 1 p + 14
1 u + 1 p + 14 = 24
1 u + 1 p = 24 - 14
1 u + 1 p = 10 --- (1)
Total number of pupils in Primary 6 = 3 u + 1 p
3 u + 1 p = 20 --- (2)
(2) - (1)
(3 u + 1 p) - (1 u + 1 p) = 20 - 10
3 u - 1 u = 10
2 u = 10
1 u = 10 ÷ 2 = 5
Number of girls in Primary 6
= 3 u
= 3 x 5
= 15
Number of boys in Primary 6
= 1 p
= 20 - 3 u
= 20 - 15
= 5
Number of more girls than boys in Primary 6
= 15 - 5
= 10
Answer(s): 10