21 Primary 5 students and 17 of Primary 6 students went on a school camp. The number of Primary 6 girls was 4 times the number of Primary 5 girls, and there were 13 more Primary 5 boys than Primary 6 boys. How many less Primary 6 boys than Primary 6 girls went on the school camp?
Primary 5 |
Primary 6 |
21 |
17 |
Girls |
Boys |
Girls |
Boys |
1 u |
1 p + 13 |
4 u |
1 p |
Total number of students in Primary 5 = 1 u + 1 p + 13
1 u + 1 p + 13 = 21
1 u + 1 p = 21 - 13
1 u + 1 p = 8 --- (1)
Total number of students in Primary 6 = 4 u + 1 p
4 u + 1 p = 17 --- (2)
(2) - (1)
(4 u + 1 p) - (1 u + 1 p) = 17 - 8
4 u - 1 u = 9
3 u = 9
1 u = 9 ÷ 3 = 3
Number of girls in Primary 6
= 4 u
= 4 x 3
= 12
Number of boys in Primary 6
= 1 p
= 17 - 4 u
= 17 - 12
= 5
Number of less boys than girls in Primary 6
= 12 - 5
= 7
Answer(s): 7