In one Science class of 108 students, 0.25 of the girls and
34 of the boys passed the mock exam. A total of 41 students passed the mock exam. How many girls failed the Science mock exam?
|
Girls |
Boys |
Total |
Passed the test |
1 u |
3 p |
41 |
Failed the test |
3 u |
1 p |
67 |
Total |
4 u |
4 p |
108 |
0.25 of the girls =
14 of the girls
Total number of girls = 4 u
Total number of boys = 4 p
1 u + 3 p = 41 --- (1)
3 u + 1 p = 108 - 41
3 u + 1 p = 67 --- (2)
Make u the same.
(1)
x33 u + 9 p = 123 --- (3)
(3) - (2)
9 p - 1 p = 123 - 67
8 p = 56
1 p = 56 ÷ 8 = 7
From (2)
Number of girls who failed
= 67 - 1 p
= 67 - 7
= 60
Answer(s): 60