129 students went for a physical fitness test and 45 of them achieved Silver certificates.
25 of the girls and
14 of the boys achieved Silver certificates. How many girls did not achieve Silver certificates?
Boys |
Girls |
5 u |
4 p |
Achieved Silver |
Did not achieve Silver |
Achieved Silver |
Did not achieve Silver |
2 u |
3 u |
1 p |
3 p |
Number of students who did not achieve Silver certificates
= 129 - 45
= 84
2 u + 1 p = 45
1 p = 45 - 2 u --- (1)
3 u + 3 p = 84
3 p = 84 - 3 u --- (2)
Make p the same.
(1)
x33 p = 135 - 6 u --- (3)
(2) = (3)
84 - 3 u = 135 - 6 u
6 u - 3 u = 135 - 84
3 u = 51
1 u = 51 ÷ 3 = 17
Number of boys who did not achieve Silver certificates
= 3 u
= 3 x 17
= 51
Number of girls who did not achieve Silver certificates
= 84 - 51
= 33
Answer(s): 33