In one Science class of 102 students, 0.125 of the girls and
23 of the boys passed the mock test. A total of 55 students passed the mock test. How many girls failed the Science mock test?
|
Girls |
Boys |
Total |
Passed the test |
1 u |
2 p |
55 |
Failed the test |
7 u |
1 p |
47 |
Total |
8 u |
3 p |
102 |
0.125 of the girls =
18 of the girls
Total number of girls = 8 u
Total number of boys = 3 p
1 u + 2 p = 55 --- (1)
7 u + 1 p = 102 - 55
7 u + 1 p = 47 --- (2)
Make u the same.
(1)
x77 u + 14 p = 385 --- (3)
(3) - (2)
14 p - 1 p = 385 - 47
13 p = 338
1 p = 338 ÷ 13 = 26
From (2)
Number of girls who failed
= 47 - 1 p
= 47 - 26
= 21
Answer(s): 21