In one Social Studies class of 96 students, 0.25 of the boys and
34 of the girls passed the exam. A total of 48 students passed the exam. How many boys failed the Social Studies exam?
| |
Boys |
Girls |
Total |
| Passed the test |
1 u |
3 p |
48 |
| Failed the test |
3 u |
1 p |
48 |
| 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 = 48 --- (1)
3 u + 1 p = 96 - 48
3 u + 1 p = 48 --- (2)
Make u the same.
(1)
x33 u + 9 p = 144 --- (3)
(3) - (2)
9 p - 1 p = 144 - 48
8 p = 96
1 p = 96 ÷ 8 = 12
From (2)
Number of boys who failed
= 48 - 1 p
= 48 - 12
= 36
Answer(s): 36
