There were 322 students in a school. On the school anniversary,
34 of the girls and
45 of the boys came in gold vests. The rest came in black vests. The number of boys who wore black vests was twice of the girls who wore black vests. How many students were in gold vests that day?
| Girls |
Boys |
Total |
| Gold vests |
Black vests |
Gold vests |
Black vests |
|
| 3 |
1 |
4x2 |
1x2 |
|
| |
1 |
|
2 |
|
| 3 u |
1 u |
8 u |
2 u |
14 u |
The number of boys who came in black vests is repeated. Make the number of boys who came in black vests the same. LCM of 1 and 2 is 2.
Total number of students
= 3 u + 1 u + 8 u + 2 u
= 14 u
14 u = 322
1 u = 322 ÷ 14 = 23
Number of students in gold vests
= 3 u + 8 u
= 11 u
= 11 x 23
= 253
Answer(s): 253
