There were 693 pupils in a school. On the school anniversary,
56 of the boys and
45 of the girls came in gold sweaters. The rest came in green sweaters. The number of girls who wore green sweaters was thrice of the boys who wore green sweaters. How many pupils were in gold sweaters that day?
| Boys |
Girls |
Total |
| Gold sweaters |
Green sweaters |
Gold sweaters |
Green sweaters |
|
| 5 |
1 |
4x3 |
1x3 |
|
| |
1 |
|
3 |
|
| 5 u |
1 u |
12 u |
3 u |
21 u |
The number of girls who came in green sweaters is repeated. Make the number of girls who came in green sweaters the same. LCM of 1 and 3 is 3.
Total number of pupils
= 5 u + 1 u + 12 u + 3 u
= 21 u
21 u = 693
1 u = 693 ÷ 21 = 33
Number of pupils in gold sweaters
= 5 u + 12 u
= 17 u
= 17 x 33
= 561
Answer(s): 561
