30 Primary 3 pupils and 26 of Primary 4 pupils went on a school outing. The number of Primary 4 girls was 5 times the number of Primary 3 girls, and there were 16 more Primary 3 boys than Primary 4 boys. How many less Primary 4 boys than Primary 4 girls went on the school outing?
Primary 3 |
Primary 4 |
30 |
26 |
Girls |
Boys |
Girls |
Boys |
1 u |
1 p + 16 |
5 u |
1 p |
Total number of pupils in Primary 3 = 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 4 = 5 u + 1 p
5 u + 1 p = 26 --- (2)
(2) - (1)
(5 u + 1 p) - (1 u + 1 p) = 26 - 14
5 u - 1 u = 12
4 u = 12
1 u = 12 ÷ 4 = 3
Number of girls in Primary 4
= 5 u
= 5 x 3
= 15
Number of boys in Primary 4
= 1 p
= 26 - 5 u
= 26 - 15
= 11
Number of less boys than girls in Primary 4
= 15 - 11
= 4
Answer(s): 4