There were 414 pupils in a school. On the school anniversary,
56 of the boys and
23 of the girls came in white scarves. The rest came in brown scarves. The number of girls who wore brown scarves was four times of the boys who wore brown scarves. How many pupils were in white scarves that day?
| Boys |
Girls |
Total |
| White scarves |
Brown scarves |
White scarves |
Brown scarves |
|
| 5 |
1 |
2x4 |
1x4 |
|
| |
1 |
|
4 |
|
| 5 u |
1 u |
8 u |
4 u |
18 u |
The number of girls who came in brown scarves is repeated. Make the number of girls who came in brown scarves the same. LCM of 1 and 4 is 4.
Total number of pupils
= 5 u + 1 u + 8 u + 4 u
= 18 u
18 u = 414
1 u = 414 ÷ 18 = 23
Number of pupils in white scarves
= 5 u + 8 u
= 13 u
= 13 x 23
= 299
Answer(s): 299
