31 Primary 5 pupils and 23 of Primary 6 pupils went on a school learning journey. The number of Primary 6 girls was 3 times the number of Primary 5 girls, and there were 16 more Primary 5 boys than Primary 6 boys. How many more Primary 6 girls than Primary 6 boys went on the school learning journey?
Primary 5 |
Primary 6 |
31 |
23 |
Girls |
Boys |
Girls |
Boys |
1 u |
1 p + 16 |
3 u |
1 p |
Total number of pupils in Primary 5 = 1 u + 1 p + 16
1 u + 1 p + 16 = 31
1 u + 1 p = 31 - 16
1 u + 1 p = 15 --- (1)
Total number of pupils in Primary 6 = 3 u + 1 p
3 u + 1 p = 23 --- (2)
(2) - (1)
(3 u + 1 p) - (1 u + 1 p) = 23 - 15
3 u - 1 u = 8
2 u = 8
1 u = 8 ÷ 2 = 4
Number of girls in Primary 6
= 3 u
= 3 x 4
= 12
Number of boys in Primary 6
= 1 p
= 23 - 3 u
= 23 - 12
= 11
Number of more girls than boys in Primary 6
= 12 - 11
= 1
Answer(s): 1