150 students went for a spelling test and 49 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 students who did not achieve Bronze certificates
= 150 - 49
= 101
2 u + 1 p = 49
1 p = 49 - 2 u --- (1)
3 u + 4 p = 101
4 p = 101 - 3 u --- (2)
Make p the same.
(1)
x44 p = 196 - 8 u --- (3)
(2) = (3)
101 - 3 u = 196 - 8 u
8 u - 3 u = 196 - 101
5 u = 95
1 u = 95 ÷ 5 = 19
Number of girls who achieved Bronze certificates
= 2 u
= 2 x 19
= 38
Number of boys who achieved Bronze certificates
= 49 - 38
= 11
Answer(s): 11
