There were 504 pupils in a school. On the school anniversary,
34 of the girls and
45 of the boys came in grey shirts. The rest came in silver shirts. The number of boys who wore silver shirts was four times of the girls who wore silver shirts. How many pupils were in grey shirts that day?
Girls |
Boys |
Total |
Grey shirts |
Silver shirts |
Grey shirts |
Silver shirts |
|
3 |
1 |
4x4 |
1x4 |
|
|
1 |
|
4 |
|
3 u |
1 u |
16 u |
4 u |
24 u |
The number of boys who came in silver shirts is repeated. Make the number of boys who came in silver shirts the same. LCM of 1 and 4 is 4.
Total number of pupils
= 3 u + 1 u + 16 u + 4 u
= 24 u
24 u = 504
1 u = 504 ÷ 24 = 21
Number of pupils in grey shirts
= 3 u + 16 u
= 19 u
= 19 x 21
= 399
Answer(s): 399