In one Social Studies class of 119 students, 0.125 of the boys and
45 of the girls passed the test. A total of 52 students passed the test. How many boys failed the Social Studies test?
| |
Boys |
Girls |
Total |
| Passed the test |
1 u |
4 p |
52 |
| Failed the test |
7 u |
1 p |
67 |
| Total |
8 u |
5 p |
119 |
0.125 of the boys =
18 of the boys
Total number of boys = 8 u
Total number of girls = 5 p
1 u + 4 p = 52 --- (1)
7 u + 1 p = 119 - 52
7 u + 1 p = 67 --- (2)
Make u the same.
(1)
x77 u + 28 p = 364 --- (3)
(3) - (2)
28 p - 1 p = 364 - 67
27 p = 297
1 p = 297 ÷ 27 = 11
From (2)
Number of boys who failed
= 67 - 1 p
= 67 - 11
= 56
Answer(s): 56
