In one Social Studies class of 98 students, 0.125 of the boys and
45 of the girls passed the test. A total of 46 students passed the test. How many boys failed the Social Studies test?
|
Boys |
Girls |
Total |
Passed the test |
1 u |
4 p |
46 |
Failed the test |
7 u |
1 p |
52 |
Total |
8 u |
5 p |
98 |
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 = 46 --- (1)
7 u + 1 p = 98 - 46
7 u + 1 p = 52 --- (2)
Make u the same.
(1)
x77 u + 28 p = 322 --- (3)
(3) - (2)
28 p - 1 p = 322 - 52
27 p = 270
1 p = 270 ÷ 27 = 10
From (2)
Number of boys who failed
= 52 - 1 p
= 52 - 10
= 42
Answer(s): 42