Container P contains 4 green balls and 7 brown balls. Container Q contains 25 green balls and 12 brown balls. How many brown balls and green balls must be moved from Container Q to put into Container P so that 50% of the balls in Container A are green and 75% of the balls in Container Q are green?
|
Container P |
Container Q |
|
Green balls |
Brown balls |
Green balls |
Brown balls |
Before |
4 |
7 |
25 |
12 |
Change |
+ ? |
+ ? |
- ? |
- ? |
After |
1 u |
1 u |
3 p |
1 p |
50% =
50100 = 12
75% =
75100 = 34
Number of green balls = 4 + 25 = 29
Number of brown balls = 7 + 12 = 19
1 u + 3 p = 29 --- (1)
1 u + 1 p = 19 ---(2)
(1) - (2)
(1 u + 3 p) - (1 u + 1 p) = 29 - 19
3 p - 1 p = 10
2 p = 10
1 p = 10 ÷ 2 = 5
From (2):
1 u + 1 p = 19
1 u + 1 x 5 = 19
1 u + 5 = 19
1 u = 19 - 5 = 14
Number of brown balls to be moved from Container Q to Container P
= 12 - 1 p
= 12 - 1 x 5
= 12 - 5
= 7
Number of green balls to be moved from Container Q to Container P
= 1 u - 4
= 14 - 4
= 10
Total number of brown and green balls to be moved from Container Q to Container P
= 7 + 10
= 17
Answer(s): 17