In one Mathematics class of 91 pupils, 0.25 of the girls and
23 of the boys passed the mock test. A total of 44 pupils passed the mock test. How many girls failed the Mathematics mock test?
|
Girls |
Boys |
Total |
Passed the test |
1 u |
2 p |
44 |
Failed the test |
3 u |
1 p |
47 |
Total |
4 u |
3 p |
91 |
0.25 of the girls =
14 of the girls
Total number of girls = 4 u
Total number of boys = 3 p
1 u + 2 p = 44 --- (1)
3 u + 1 p = 91 - 44
3 u + 1 p = 47 --- (2)
Make u the same.
(1)
x33 u + 6 p = 132 --- (3)
(3) - (2)
6 p - 1 p = 132 - 47
5 p = 85
1 p = 85 ÷ 5 = 17
From (2)
Number of girls who failed
= 47 - 1 p
= 47 - 17
= 30
Answer(s): 30