38 Primary 1 students and 34 of Primary 2 students went on a school excursion. The number of Primary 2 girls was 5 times the number of Primary 1 girls, and there were 20 less Primary 2 boys than Primary 1 boys. How many less Primary 2 boys than Primary 2 girls went on the school excursion?
Primary 1 |
Primary 2 |
38 |
34 |
Girls |
Boys |
Girls |
Boys |
1 u |
1 p + 20 |
5 u |
1 p |
Total number of students in Primary 1 = 1 u + 1 p + 20
1 u + 1 p + 20 = 38
1 u + 1 p = 38 - 20
1 u + 1 p = 18 --- (1)
Total number of students in Primary 2 = 5 u + 1 p
5 u + 1 p = 34 --- (2)
(2) - (1)
(5 u + 1 p) - (1 u + 1 p) = 34 - 18
5 u - 1 u = 16
4 u = 16
1 u = 16 ÷ 4 = 4
Number of girls in Primary 2
= 5 u
= 5 x 4
= 20
Number of boys in Primary 2
= 1 p
= 34 - 5 u
= 34 - 20
= 14
Number of less boys than girls in Primary 2
= 20 - 14
= 6
Answer(s): 6