In one Science class of 96 students, 0.125 of the girls and
34 of the boys passed the mock exam. A total of 37 students passed the mock exam. How many girls failed the Science mock exam?
|
Girls |
Boys |
Total |
Passed the test |
1 u |
3 p |
37 |
Failed the test |
7 u |
1 p |
59 |
Total |
8 u |
4 p |
96 |
0.125 of the girls =
18 of the girls
Total number of girls = 8 u
Total number of boys = 4 p
1 u + 3 p = 37 --- (1)
7 u + 1 p = 96 - 37
7 u + 1 p = 59 --- (2)
Make u the same.
(1)
x77 u + 21 p = 259 --- (3)
(3) - (2)
21 p - 1 p = 259 - 59
20 p = 200
1 p = 200 ÷ 20 = 10
From (2)
Number of girls who failed
= 59 - 1 p
= 59 - 10
= 49
Answer(s): 49