In one History class of 95 students, 0.125 of the boys and
23 of the girls passed the mock test. A total of 33 students passed the mock test. How many boys failed the History mock test?
|
Boys |
Girls |
Total |
Passed the test |
1 u |
2 p |
33 |
Failed the test |
7 u |
1 p |
62 |
Total |
8 u |
3 p |
95 |
0.125 of the boys =
18 of the boys
Total number of boys = 8 u
Total number of girls = 3 p
1 u + 2 p = 33 --- (1)
7 u + 1 p = 95 - 33
7 u + 1 p = 62 --- (2)
Make u the same.
(1)
x77 u + 14 p = 231 --- (3)
(3) - (2)
14 p - 1 p = 231 - 62
13 p = 169
1 p = 169 ÷ 13 = 13
From (2)
Number of boys who failed
= 62 - 1 p
= 62 - 13
= 49
Answer(s): 49