A total of 35 black rulers and yellow rulers are in a container. The ratio of black rulers to yellow rulers was 1 : 6. Some silver rulers and purple rulers were put into the container. For every 1 yellow rulers that were already in the container, 2 purple ones were added. Then, the final number of black rulers and silver rulers was
12 the final number of yellow rulers and purple rulers. Find the total number of silver and purple rulers.
| Silver rulers |
Black rulers |
Yellow rulers |
Purple rulers |
| |
1x1 |
6x1 |
|
| |
|
1x6 |
2x6 |
| 1x9 |
2x9 |
| 8 u |
1 u |
6 u |
12 u |
The number of yellow rulers is repeated. Make the number of yellow rulers the same. LCM of 6 and 1 is 6.
The total number of yellow rulers and purple rulers is repeated. Make the total number of yellow and purple rulers the same. LCM of 18 and 2 is 18.
Total number of black rulers and yellow rulers
= 1 u + 6 u
= 7 u
7 u = 35
1 u = 35 ÷ 7 = 5
Total number of silver and purple rulers
= 8 u + 12 u
= 20 u
= 20 x 5
= 100
Answer(s): 100
