There were 408 students in a school. On the school anniversary,
34 of the boys and
45 of the girls came in white scarves. The rest came in black scarves. The number of girls who wore black scarves was four times of the boys who wore black scarves. How many students were in white scarves that day?
| Boys |
Girls |
Total |
| White scarves |
Black scarves |
White scarves |
Black scarves |
|
| 3 |
1 |
4x4 |
1x4 |
|
| |
1 |
|
4 |
|
| 3 u |
1 u |
16 u |
4 u |
24 u |
The number of girls who came in black scarves is repeated. Make the number of girls who came in black scarves the same. LCM of 1 and 4 is 4.
Total number of students
= 3 u + 1 u + 16 u + 4 u
= 24 u
24 u = 408
1 u = 408 ÷ 24 = 17
Number of students in white scarves
= 3 u + 16 u
= 19 u
= 19 x 17
= 323
Answer(s): 323
