There were 414 pupils in a school. On the school anniversary,
56 of the girls and
34 of the boys came in brown jackets. The rest came in pink jackets. The number of boys who wore pink jackets was thrice of the girls who wore pink jackets. How many pupils were in brown jackets that day?
| Girls |
Boys |
Total |
| Brown jackets |
Pink jackets |
Brown jackets |
Pink jackets |
|
| 5 |
1 |
3x3 |
1x3 |
|
| |
1 |
|
3 |
|
| 5 u |
1 u |
9 u |
3 u |
18 u |
The number of boys who came in pink jackets is repeated. Make the number of boys who came in pink jackets the same. LCM of 1 and 3 is 3.
Total number of pupils
= 5 u + 1 u + 9 u + 3 u
= 18 u
18 u = 414
1 u = 414 ÷ 18 = 23
Number of pupils in brown jackets
= 5 u + 9 u
= 14 u
= 14 x 23
= 322
Answer(s): 322
