147 pupils went for a physical fitness test and 48 of them achieved Gold certificates.
25 of the girls and
14 of the boys achieved Gold certificates. How many girls did not achieve Gold certificates?
Boys |
Girls |
5 u |
4 p |
Achieved Gold |
Did not achieve Gold |
Achieved Gold |
Did not achieve Gold |
2 u |
3 u |
1 p |
3 p |
Number of pupils who did not achieve Gold certificates
= 147 - 48
= 99
2 u + 1 p = 48
1 p = 48 - 2 u --- (1)
3 u + 3 p = 99
3 p = 99 - 3 u --- (2)
Make p the same.
(1)
x33 p = 144 - 6 u --- (3)
(2) = (3)
99 - 3 u = 144 - 6 u
6 u - 3 u = 144 - 99
3 u = 45
1 u = 45 ÷ 3 = 15
Number of boys who achieved Gold certificates
= 2 u
= 2 x 15
= 30
Number of girls who achieved Gold certificates
= 48 - 30
= 18
Answer(s): 18