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