There were 340 pupils in a school. On the school anniversary,
45 of the girls and
23 of the boys came in blue caps. The rest came in grey caps. The number of boys who wore grey caps was four times of the girls who wore grey caps. How many pupils were in blue caps that day?
Girls |
Boys |
Total |
Blue caps |
Grey caps |
Blue caps |
Grey caps |
|
4 |
1 |
2x4 |
1x4 |
|
|
1 |
|
4 |
|
4 u |
1 u |
8 u |
4 u |
17 u |
The number of boys who came in grey caps is repeated. Make the number of boys who came in grey caps the same. LCM of 1 and 4 is 4.
Total number of pupils
= 4 u + 1 u + 8 u + 4 u
= 17 u
17 u = 340
1 u = 340 ÷ 17 = 20
Number of pupils in blue caps
= 4 u + 8 u
= 12 u
= 12 x 20
= 240
Answer(s): 240