There were 198 pupils in a school. On the school anniversary,
45 of the boys and
23 of the girls came in purple blazers. The rest came in gold blazers. The number of girls who wore gold blazers was twice of the boys who wore gold blazers. How many pupils were in purple blazers that day?
Boys |
Girls |
Total |
Purple blazers |
Gold blazers |
Purple blazers |
Gold blazers |
|
4 |
1 |
2x2 |
1x2 |
|
|
1 |
|
2 |
|
4 u |
1 u |
4 u |
2 u |
11 u |
The number of girls who came in gold blazers is repeated. Make the number of girls who came in gold blazers the same. LCM of 1 and 2 is 2.
Total number of pupils
= 4 u + 1 u + 4 u + 2 u
= 11 u
11 u = 198
1 u = 198 ÷ 11 = 18
Number of pupils in purple blazers
= 4 u + 4 u
= 8 u
= 8 x 18
= 144
Answer(s): 144