In one History class of 95 students, 0.25 of the girls and
23 of the boys passed the test. A total of 45 students passed the test. How many girls failed the History test?
| |
Girls |
Boys |
Total |
| Passed the test |
1 u |
2 p |
45 |
| Failed the test |
3 u |
1 p |
50 |
| Total |
4 u |
3 p |
95 |
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 = 45 --- (1)
3 u + 1 p = 95 - 45
3 u + 1 p = 50 --- (2)
Make u the same.
(1)
x33 u + 6 p = 135 --- (3)
(3) - (2)
6 p - 1 p = 135 - 50
5 p = 85
1 p = 85 ÷ 5 = 17
From (2)
Number of girls who failed
= 50 - 1 p
= 50 - 17
= 33
Answer(s): 33
