101 students went for a dancing competition and 47 of them achieved Gold certificates.
35 of the girls and
13 of the boys achieved Gold certificates. How many girls did not achieve Gold certificates?
Boys |
Girls |
5 u |
3 p |
Achieved Gold |
Did not achieve Gold |
Achieved Gold |
Did not achieve Gold |
3 u |
2 u |
1 p |
2 p |
Number of students who did not achieve Gold certificates
= 101 - 47
= 54
3 u + 1 p = 47
1 p = 47 - 3 u --- (1)
2 u + 2 p = 54
2 p = 54 - 2 u --- (2)
Make p the same.
(1)
x22 p = 94 - 6 u --- (3)
(2) = (3)
54 - 2 u = 94 - 6 u
6 u - 2 u = 94 - 54
4 u = 40
1 u = 40 ÷ 4 = 10
Number of boys who achieved Gold certificates
= 3 u
= 3 x 10
= 30
Number of girls who achieved Gold certificates
= 47 - 30
= 17
Answer(s): 17