A total of 110 purple staplers and black staplers are in a container. The ratio of purple staplers to black staplers was 3 : 8. Some red staplers and yellow staplers were put into the container. For every 4 black staplers that were already in the container, 6 yellow ones were added. Then, the final number of purple staplers and red staplers was
12 the final number of black staplers and yellow staplers. Find the total number of red and yellow staplers.
| Red staplers |
Purple staplers |
Black staplers |
Yellow staplers |
| |
3x1 |
8x1 |
|
| |
|
4x2 |
6x2 |
| 1x10 |
2x10 |
| 7 u |
3 u |
8 u |
12 u |
The number of black staplers is repeated. Make the number of black staplers the same. LCM of 8 and 4 is 8.
The total number of black staplers and yellow staplers is repeated. Make the total number of black and yellow staplers the same. LCM of 20 and 2 is 20.
Total number of purple staplers and black staplers
= 3 u + 8 u
= 11 u
11 u = 110
1 u = 110 ÷ 11 = 10
Total number of red and yellow staplers
= 7 u + 12 u
= 19 u
= 19 x 10
= 190
Answer(s): 190
