35 Primary 2 students and 32 of Primary 3 students went on a school excursion. The number of Primary 3 boys was 5 times the number of Primary 2 boys, and there were 19 more Primary 2 girls than Primary 3 girls. How many less Primary 3 girls than Primary 3 boys went on the school excursion?
Primary 2 |
Primary 3 |
35 |
32 |
Boys |
Girls |
Boys |
Girls |
1 u |
1 p + 19 |
5 u |
1 p |
Total number of students in Primary 2 = 1 u + 1 p + 19
1 u + 1 p + 19 = 35
1 u + 1 p = 35 - 19
1 u + 1 p = 16 --- (1)
Total number of students in Primary 3 = 5 u + 1 p
5 u + 1 p = 32 --- (2)
(2) - (1)
(5 u + 1 p) - (1 u + 1 p) = 32 - 16
5 u - 1 u = 16
4 u = 16
1 u = 16 ÷ 4 = 4
Number of boys in Primary 3
= 5 u
= 5 x 4
= 20
Number of girls in Primary 3
= 1 p
= 32 - 5 u
= 32 - 20
= 12
Number of less girls than boys in Primary 3
= 20 - 12
= 8
Answer(s): 8