16 Primary 5 students and 11 of Primary 6 students went on a school learning journey. The number of Primary 6 girls was 3 times the number of Primary 5 girls, and there were 9 more Primary 5 boys than Primary 6 boys. How many less Primary 6 boys than Primary 6 girls went on the school learning journey?
Primary 5 |
Primary 6 |
16 |
11 |
Girls |
Boys |
Girls |
Boys |
1 u |
1 p + 9 |
3 u |
1 p |
Total number of students in Primary 5 = 1 u + 1 p + 9
1 u + 1 p + 9 = 16
1 u + 1 p = 16 - 9
1 u + 1 p = 7 --- (1)
Total number of students in Primary 6 = 3 u + 1 p
3 u + 1 p = 11 --- (2)
(2) - (1)
(3 u + 1 p) - (1 u + 1 p) = 11 - 7
3 u - 1 u = 4
2 u = 4
1 u = 4 ÷ 2 = 2
Number of girls in Primary 6
= 3 u
= 3 x 2
= 6
Number of boys in Primary 6
= 1 p
= 11 - 3 u
= 11 - 6
= 5
Number of less boys than girls in Primary 6
= 6 - 5
= 1
Answer(s): 1