A total of 14 purple punchers and green punchers are in a container. The ratio of purple punchers to green punchers was 2 : 5. Some silver punchers and red punchers were put into the container. For every 1 green punchers that were already in the container, 2 red ones were added. Then, the final number of purple punchers and silver punchers was
25 the final number of green punchers and red punchers. Find the total number of silver and red punchers.
Silver punchers |
Purple punchers |
Green punchers |
Red punchers |
|
2x1 |
5x1 |
|
|
|
1x5 |
2x5 |
2x3 |
5x3 |
4 u |
2 u |
5 u |
10 u |
The number of green punchers is repeated. Make the number of green punchers the same. LCM of 5 and 1 is 5.
The total number of green punchers and red punchers is repeated. Make the total number of green and red punchers the same. LCM of 15 and 5 is 15.
Total number of purple punchers and green punchers
= 2 u + 5 u
= 7 u
7 u = 14
1 u = 14 ÷ 7 = 2
Total number of silver and red punchers
= 4 u + 10 u
= 14 u
= 14 x 2
= 28
Answer(s): 28