A total of 33 grey staplers and silver staplers are in a container. The ratio of grey staplers to silver staplers was 3 : 8. Some green staplers and red staplers were put into the container. For every 4 silver staplers that were already in the container, 3 red ones were added. Then, the final number of grey staplers and green staplers was
57 the final number of silver staplers and red staplers. Find the total number of green and red staplers.
| Green staplers |
Grey staplers |
Silver staplers |
Red staplers |
| |
3x1 |
8x1 |
|
| |
|
4x2 |
3x2 |
| 5x2 |
7x2 |
| 7 u |
3 u |
8 u |
6 u |
The number of silver staplers is repeated. Make the number of silver staplers the same. LCM of 8 and 4 is 8.
The total number of silver staplers and red staplers is repeated. Make the total number of silver and red staplers the same. LCM of 14 and 7 is 14.
Total number of grey staplers and silver staplers
= 3 u + 8 u
= 11 u
11 u = 33
1 u = 33 ÷ 11 = 3
Total number of green and red staplers
= 7 u + 6 u
= 13 u
= 13 x 3
= 39
Answer(s): 39
