There were 720 students in a school. On the school anniversary,
56 of the girls and
34 of the boys came in gold blazers. The rest came in black blazers. The number of boys who wore black blazers was thrice of the girls who wore black blazers. How many students were in gold blazers that day?
| Girls |
Boys |
Total |
| Gold blazers |
Black blazers |
Gold blazers |
Black blazers |
|
| 5 |
1 |
3x3 |
1x3 |
|
| |
1 |
|
3 |
|
| 5 u |
1 u |
9 u |
3 u |
18 u |
The number of boys who came in black blazers is repeated. Make the number of boys who came in black blazers the same. LCM of 1 and 3 is 3.
Total number of students
= 5 u + 1 u + 9 u + 3 u
= 18 u
18 u = 720
1 u = 720 ÷ 18 = 40
Number of students in gold blazers
= 5 u + 9 u
= 14 u
= 14 x 40
= 560
Answer(s): 560
