Container L contains 14 brown beads and 2 white beads. Container M contains 37 brown beads and 25 white beads. How many white beads and brown beads must be removed from Container M to put into Container L so that 50% of the beads in Container A are brown and 80% of the beads in Container M are brown?
|
Container L |
Container M |
|
Brown beads |
White beads |
Brown beads |
White beads |
Before |
14 |
2 |
37 |
25 |
Change |
+ ? |
+ ? |
- ? |
- ? |
After |
1 u |
1 u |
4 p |
1 p |
50% =
50100 = 12
80% =
80100 = 45
Number of brown beads = 14 + 37 = 51
Number of white beads = 2 + 25 = 27
1 u + 4 p = 51 --- (1)
1 u + 1 p = 27 ---(2)
(1) - (2)
(1 u + 4 p) - (1 u + 1 p) = 51 - 27
4 p - 1 p = 24
3 p = 24
1 p = 24 ÷ 3 = 8
From (2):
1 u + 1 p = 27
1 u + 1 x 8 = 27
1 u + 8 = 27
1 u = 27 - 8 = 19
Number of white beads to be removed from Container M to Container L
= 25 - 1 p
= 25 - 1 x 8
= 25 - 8
= 17
Number of brown beads to be removed from Container M to Container L
= 1 u - 14
= 19 - 14
= 5
Total number of white and brown beads to be removed from Container M to Container L
= 17 + 5
= 22
Answer(s): 22