There were 364 students in a school. On the school anniversary,
23 of the girls and
45 of the boys came in black vests. The rest came in yellow vests. The number of boys who wore yellow vests was twice of the girls who wore yellow vests. How many students were in black vests that day?
| Girls |
Boys |
Total |
| Black vests |
Yellow vests |
Black vests |
Yellow vests |
|
| 2 |
1 |
4x2 |
1x2 |
|
| |
1 |
|
2 |
|
| 2 u |
1 u |
8 u |
2 u |
13 u |
The number of boys who came in yellow vests is repeated. Make the number of boys who came in yellow vests the same. LCM of 1 and 2 is 2.
Total number of students
= 2 u + 1 u + 8 u + 2 u
= 13 u
13 u = 364
1 u = 364 ÷ 13 = 28
Number of students in black vests
= 2 u + 8 u
= 10 u
= 10 x 28
= 280
Answer(s): 280
