30 Primary 5 pupils and 26 of Primary 6 pupils went on a school camp. The number of Primary 6 boys was 4 times the number of Primary 5 boys, and there were 16 more Primary 5 girls than Primary 6 girls. How many more Primary 6 boys than Primary 6 girls went on the school camp?
Primary 5 |
Primary 6 |
30 |
26 |
Boys |
Girls |
Boys |
Girls |
1 u |
1 p + 16 |
4 u |
1 p |
Total number of pupils in Primary 5 = 1 u + 1 p + 16
1 u + 1 p + 16 = 30
1 u + 1 p = 30 - 16
1 u + 1 p = 14 --- (1)
Total number of pupils in Primary 6 = 4 u + 1 p
4 u + 1 p = 26 --- (2)
(2) - (1)
(4 u + 1 p) - (1 u + 1 p) = 26 - 14
4 u - 1 u = 12
3 u = 12
1 u = 12 ÷ 3 = 4
Number of boys in Primary 6
= 4 u
= 4 x 4
= 16
Number of girls in Primary 6
= 1 p
= 26 - 4 u
= 26 - 16
= 10
Number of more boys than girls in Primary 6
= 16 - 10
= 6
Answer(s): 6