125 pupils went for a physical fitness test and 35 of them achieved Bronze certificates.
25 of the boys and
15 of the girls achieved Bronze certificates. How many boys did not achieve Bronze certificates?
| Girls |
Boys |
| 5 u |
5 p |
Achieved
Bronze |
Did not achieve
Bronze |
Achieved
Bronze |
Did not achieve
Bronze |
| 2 u |
3 u |
1 p |
4 p |
Number of pupils who did not achieve Bronze certificates
= 125 - 35
= 90
2 u + 1 p = 35
1 p = 35 - 2 u --- (1)
3 u + 4 p = 90
4 p = 90 - 3 u --- (2)
Make p the same.
(1)
x44 p = 140 - 8 u --- (3)
(2) = (3)
90 - 3 u = 140 - 8 u
8 u - 3 u = 140 - 90
5 u = 50
1 u = 50 ÷ 5 = 10
Number of girls who did not achieve Bronze certificates
= 3 u
= 3 x 10
= 30
Number of boys who did not achieve Bronze certificates
= 90 - 30
= 60
Answer(s): 60
