A total of 24 red punchers and purple punchers are in a container. The ratio of red punchers to purple punchers was 1 : 3. Some brown punchers and white punchers were put into the container. For every 1 purple punchers that were already in the container, 3 white ones were added. Then, the final number of red punchers and brown punchers was
56 the final number of purple punchers and white punchers. Find the total number of brown and white punchers.
Brown punchers |
Red punchers |
Purple punchers |
White punchers |
|
1x1 |
3x1 |
|
|
|
1x3 |
3x3 |
5x2 |
6x2 |
9 u |
1 u |
3 u |
9 u |
The number of purple punchers is repeated. Make the number of purple punchers the same. LCM of 3 and 1 is 3.
The total number of purple punchers and white punchers is repeated. Make the total number of purple and white punchers the same. LCM of 12 and 6 is 12.
Total number of red punchers and purple punchers
= 1 u + 3 u
= 4 u
4 u = 24
1 u = 24 ÷ 4 = 6
Total number of brown and white punchers
= 9 u + 9 u
= 18 u
= 18 x 6
= 108
Answer(s): 108