In one Social Studies class of 104 students, 0.25 of the boys and
23 of the girls passed the test. A total of 61 students passed the test. How many boys failed the Social Studies test?
| |
Boys |
Girls |
Total |
| Passed the test |
1 u |
2 p |
61 |
| Failed the test |
3 u |
1 p |
43 |
| Total |
4 u |
3 p |
104 |
0.25 of the boys =
14 of the boys
Total number of boys = 4 u
Total number of girls = 3 p
1 u + 2 p = 61 --- (1)
3 u + 1 p = 104 - 61
3 u + 1 p = 43 --- (2)
Make u the same.
(1)
x33 u + 6 p = 183 --- (3)
(3) - (2)
6 p - 1 p = 183 - 43
5 p = 140
1 p = 140 ÷ 5 = 28
From (2)
Number of boys who failed
= 43 - 1 p
= 43 - 28
= 15
Answer(s): 15
