There were 702 pupils in a school. On the school anniversary,
56 of the girls and
34 of the boys came in gold blazers. The rest came in grey blazers. The number of boys who wore grey blazers was thrice of the girls who wore grey blazers. How many pupils were in gold blazers that day?
| Girls |
Boys |
Total |
| Gold blazers |
Grey blazers |
Gold blazers |
Grey blazers |
|
| 5 |
1 |
3x3 |
1x3 |
|
| |
1 |
|
3 |
|
| 5 u |
1 u |
9 u |
3 u |
18 u |
The number of boys who came in grey blazers is repeated. Make the number of boys who came in grey blazers the same. LCM of 1 and 3 is 3.
Total number of pupils
= 5 u + 1 u + 9 u + 3 u
= 18 u
18 u = 702
1 u = 702 ÷ 18 = 39
Number of pupils in gold blazers
= 5 u + 9 u
= 14 u
= 14 x 39
= 546
Answer(s): 546
