33 Primary 5 pupils and 29 of Primary 6 pupils went on a school excursion. The number of Primary 6 boys was 5 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 excursion?
Primary 5 |
Primary 6 |
33 |
29 |
Boys |
Girls |
Boys |
Girls |
1 u |
1 p + 16 |
5 u |
1 p |
Total number of pupils in Primary 5 = 1 u + 1 p + 16
1 u + 1 p + 16 = 33
1 u + 1 p = 33 - 16
1 u + 1 p = 17 --- (1)
Total number of pupils in Primary 6 = 5 u + 1 p
5 u + 1 p = 29 --- (2)
(2) - (1)
(5 u + 1 p) - (1 u + 1 p) = 29 - 17
5 u - 1 u = 12
4 u = 12
1 u = 12 ÷ 4 = 3
Number of boys in Primary 6
= 5 u
= 5 x 3
= 15
Number of girls in Primary 6
= 1 p
= 29 - 5 u
= 29 - 15
= 14
Number of more boys than girls in Primary 6
= 15 - 14
= 1
Answer(s): 1