In one Mathematics class of 106 students, 0.1 of the girls and
34 of the boys passed the mock test. A total of 47 students passed the mock test. How many girls failed the Mathematics mock test?
| |
Girls |
Boys |
Total |
| Passed the test |
1 u |
3 p |
47 |
| Failed the test |
9 u |
1 p |
59 |
| Total |
10 u |
4 p |
106 |
0.1 of the girls =
110 of the girls
Total number of girls = 10 u
Total number of boys = 4 p
1 u + 3 p = 47 --- (1)
9 u + 1 p = 106 - 47
9 u + 1 p = 59 --- (2)
Make u the same.
(1)
x99 u + 27 p = 423 --- (3)
(3) - (2)
27 p - 1 p = 423 - 59
26 p = 364
1 p = 364 ÷ 26 = 14
From (2)
Number of girls who failed
= 59 - 1 p
= 59 - 14
= 45
Answer(s): 45
