In one Science class of 96 students, 0.25 of the boys and
34 of the girls passed the test. A total of 52 students passed the test. How many boys failed the Science test?
|
Boys |
Girls |
Total |
Passed the test |
1 u |
3 p |
52 |
Failed the test |
3 u |
1 p |
44 |
Total |
4 u |
4 p |
96 |
0.25 of the boys =
14 of the boys
Total number of boys = 4 u
Total number of girls = 4 p
1 u + 3 p = 52 --- (1)
3 u + 1 p = 96 - 52
3 u + 1 p = 44 --- (2)
Make u the same.
(1)
x33 u + 9 p = 156 --- (3)
(3) - (2)
9 p - 1 p = 156 - 44
8 p = 112
1 p = 112 ÷ 8 = 14
From (2)
Number of boys who failed
= 44 - 1 p
= 44 - 14
= 30
Answer(s): 30