Container C contains 3 yellow balls and 8 silver balls. Container D contains 24 yellow balls and 13 silver balls. How many silver balls and yellow balls must be removed from Container D to put into Container C so that 50% of the balls in Container A are yellow and 75% of the balls in Container D are yellow?
|
Container C |
Container D |
|
Yellow balls |
Silver balls |
Yellow balls |
Silver balls |
Before |
3 |
8 |
24 |
13 |
Change |
+ ? |
+ ? |
- ? |
- ? |
After |
1 u |
1 u |
3 p |
1 p |
50% =
50100 = 12
75% =
75100 = 34
Number of yellow balls = 3 + 24 = 27
Number of silver balls = 8 + 13 = 21
1 u + 3 p = 27 --- (1)
1 u + 1 p = 21 ---(2)
(1) - (2)
(1 u + 3 p) - (1 u + 1 p) = 27 - 21
3 p - 1 p = 6
2 p = 6
1 p = 6 ÷ 2 = 3
From (2):
1 u + 1 p = 21
1 u + 1 x 3 = 21
1 u + 3 = 21
1 u = 21 - 3 = 18
Number of silver balls to be removed from Container D to Container C
= 13 - 1 p
= 13 - 1 x 3
= 13 - 3
= 10
Number of yellow balls to be removed from Container D to Container C
= 1 u - 3
= 18 - 3
= 15
Total number of silver and yellow balls to be removed from Container D to Container C
= 10 + 15
= 25
Answer(s): 25