26 Primary 2 students and 17 of Primary 3 students went on a school learning journey. The number of Primary 3 boys was 3 times the number of Primary 2 boys, and there were 17 less Primary 3 girls than Primary 2 girls. How many less Primary 3 girls than Primary 3 boys went on the school learning journey?
Primary 2 |
Primary 3 |
26 |
17 |
Boys |
Girls |
Boys |
Girls |
1 u |
1 p + 17 |
3 u |
1 p |
Total number of students in Primary 2 = 1 u + 1 p + 17
1 u + 1 p + 17 = 26
1 u + 1 p = 26 - 17
1 u + 1 p = 9 --- (1)
Total number of students in Primary 3 = 3 u + 1 p
3 u + 1 p = 17 --- (2)
(2) - (1)
(3 u + 1 p) - (1 u + 1 p) = 17 - 9
3 u - 1 u = 8
2 u = 8
1 u = 8 ÷ 2 = 4
Number of boys in Primary 3
= 3 u
= 3 x 4
= 12
Number of girls in Primary 3
= 1 p
= 17 - 3 u
= 17 - 12
= 5
Number of less girls than boys in Primary 3
= 12 - 5
= 7
Answer(s): 7