26 Primary 5 students and 20 of Primary 6 students went on a school excursion. The number of Primary 6 girls was 3 times the number of Primary 5 girls, and there were 14 less Primary 6 boys than Primary 5 boys. How many less Primary 6 boys than Primary 6 girls went on the school excursion?
Primary 5 |
Primary 6 |
26 |
20 |
Girls |
Boys |
Girls |
Boys |
1 u |
1 p + 14 |
3 u |
1 p |
Total number of students in Primary 5 = 1 u + 1 p + 14
1 u + 1 p + 14 = 26
1 u + 1 p = 26 - 14
1 u + 1 p = 12 --- (1)
Total number of students in Primary 6 = 3 u + 1 p
3 u + 1 p = 20 --- (2)
(2) - (1)
(3 u + 1 p) - (1 u + 1 p) = 20 - 12
3 u - 1 u = 8
2 u = 8
1 u = 8 ÷ 2 = 4
Number of girls in Primary 6
= 3 u
= 3 x 4
= 12
Number of boys in Primary 6
= 1 p
= 20 - 3 u
= 20 - 12
= 8
Number of less boys than girls in Primary 6
= 12 - 8
= 4
Answer(s): 4