23 Primary 1 students and 19 of Primary 2 students went on a school learning journey. The number of Primary 2 girls was 3 times the number of Primary 1 girls, and there were 14 less Primary 2 boys than Primary 1 boys. How many less Primary 2 boys than Primary 2 girls went on the school learning journey?
Primary 1 |
Primary 2 |
23 |
19 |
Girls |
Boys |
Girls |
Boys |
1 u |
1 p + 14 |
3 u |
1 p |
Total number of students in Primary 1 = 1 u + 1 p + 14
1 u + 1 p + 14 = 23
1 u + 1 p = 23 - 14
1 u + 1 p = 9 --- (1)
Total number of students in Primary 2 = 3 u + 1 p
3 u + 1 p = 19 --- (2)
(2) - (1)
(3 u + 1 p) - (1 u + 1 p) = 19 - 9
3 u - 1 u = 10
2 u = 10
1 u = 10 ÷ 2 = 5
Number of girls in Primary 2
= 3 u
= 3 x 5
= 15
Number of boys in Primary 2
= 1 p
= 19 - 3 u
= 19 - 15
= 4
Number of less boys than girls in Primary 2
= 15 - 4
= 11
Answer(s): 11