In one Mathematics class of 91 students, 0.25 of the girls and
23 of the boys passed the mock test. A total of 54 students passed the mock test. How many girls failed the Mathematics mock test?
|
Girls |
Boys |
Total |
Passed the test |
1 u |
2 p |
54 |
Failed the test |
3 u |
1 p |
37 |
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 = 54 --- (1)
3 u + 1 p = 91 - 54
3 u + 1 p = 37 --- (2)
Make u the same.
(1)
x33 u + 6 p = 162 --- (3)
(3) - (2)
6 p - 1 p = 162 - 37
5 p = 125
1 p = 125 ÷ 5 = 25
From (2)
Number of girls who failed
= 37 - 1 p
= 37 - 25
= 12
Answer(s): 12