A total of 84 green punchers and blue punchers are in a container. The ratio of green punchers to blue punchers was 1 : 6. Some silver punchers and pink punchers were put into the container. For every 9 blue punchers that were already in the container, 6 pink ones were added. Then, the final number of green punchers and silver punchers was
25 the final number of blue punchers and pink punchers. Find the total number of silver and pink punchers.
Silver punchers |
Green punchers |
Blue punchers |
Pink punchers |
|
1x3 |
6x3 |
|
|
|
9x2 |
6x2 |
2x6 |
5x6 |
9 u |
3 u |
18 u |
12 u |
The number of blue punchers is repeated. Make the number of blue punchers the same. LCM of 6 and 9 is 18.
The total number of blue punchers and pink punchers is repeated. Make the total number of blue and pink punchers the same. LCM of 30 and 5 is 30.
Total number of green punchers and blue punchers
= 3 u + 18 u
= 21 u
21 u = 84
1 u = 84 ÷ 21 = 4
Total number of silver and pink punchers
= 9 u + 12 u
= 21 u
= 21 x 4
= 84
Answer(s): 84