There were green, white and pink balls in a container. Sean put another 9 green balls and 13 pink balls in the container, then the ratio of the number of white balls to the number of pink balls became 4 : 3. Then, he doubled the number of green balls and removed 13 pink balls. The ratio of the number of green balls to white balls became 2 : 1. He counted and found that there were a total of 32 balls left in the container. Find the number of green balls that he had in the end.
|
Green balls |
White balls |
Pink balls |
Total |
Before |
4 u - 9 |
4 u |
3 u - 13 |
|
Change 1 |
+ 9 |
|
+ 13 |
|
After 1
|
1x4 = 4 u |
4 u |
3 u |
|
Change 2
|
+ 1x4 = 4 u |
|
- 13 |
|
After 2
|
2x4 = 8 u |
1x4 = 4 u |
3 u - 13 |
32 |
The number of white balls remains unchanged. Make the number of white balls the same. LCM of 1 and 4 is 4.
Total number of balls in the end
= 8 u + 4 u + 3 u - 13
= 15 u - 13
15 u - 13 = 32
15 u = 32 + 13
15 u = 45
1 u = 45 ÷ 15 = 3
Number of green balls in the end
= 8 u
= 8 x 3
= 24
Answer(s): 24