34 Primary 2 students and 29 of Primary 3 students went on a school outing. The number of Primary 3 girls was 4 times the number of Primary 2 girls, and there were 20 less Primary 3 boys than Primary 2 boys. How many less Primary 3 boys than Primary 3 girls went on the school outing?
Primary 2 |
Primary 3 |
34 |
29 |
Girls |
Boys |
Girls |
Boys |
1 u |
1 p + 20 |
4 u |
1 p |
Total number of students in Primary 2 = 1 u + 1 p + 20
1 u + 1 p + 20 = 34
1 u + 1 p = 34 - 20
1 u + 1 p = 14 --- (1)
Total number of students in Primary 3 = 4 u + 1 p
4 u + 1 p = 29 --- (2)
(2) - (1)
(4 u + 1 p) - (1 u + 1 p) = 29 - 14
4 u - 1 u = 15
3 u = 15
1 u = 15 ÷ 3 = 5
Number of girls in Primary 3
= 4 u
= 4 x 5
= 20
Number of boys in Primary 3
= 1 p
= 29 - 4 u
= 29 - 20
= 9
Number of less boys than girls in Primary 3
= 20 - 9
= 11
Answer(s): 11