Container D contains 13 green balls and 14 pink balls. Container E contains 117 green balls and 52 pink balls. How many pink balls and green balls must be transferred from Container E to put into Container D so that 50% of the balls in Container A are green and 70% of the balls in Container E are green?
|
Container D |
Container E |
|
Green balls |
Pink balls |
Green balls |
Pink balls |
Before |
13 |
14 |
117 |
52 |
Change |
+ ? |
+ ? |
- ? |
- ? |
After |
1 u |
1 u |
7 p |
3 p |
50% =
50100 = 12
70% =
70100 = 710
Number of green balls = 13 + 117 = 130
Number of pink balls = 14 + 52 = 66
1 u + 7 p = 130 --- (1)
1 u + 3 p = 66 ---(2)
(1) - (2)
(1 u + 7 p) - (1 u + 3 p) = 130 - 66
7 p - 3 p = 64
4 p = 64
1 p = 64 ÷ 4 = 16
From (2):
1 u + 3 p = 66
1 u + 3 x 16 = 66
1 u + 48 = 66
1 u = 66 - 48 = 18
Number of pink balls to be transferred from Container E to Container D
= 52 - 3 p
= 52 - 3 x 16
= 52 - 48
= 4
Number of green balls to be transferred from Container E to Container D
= 1 u - 13
= 18 - 13
= 5
Total number of pink and green balls to be transferred from Container E to Container D
= 4 + 5
= 9
Answer(s): 9