Crate B contains 9 green beads and 10 white beads. Crate C contains 21 green beads and 12 white beads. How many white beads and green beads must be removed from Crate C to put into Crate B so that 50% of the beads in Crate A are green and 70% of the beads in Crate C are green?
|
Crate B |
Crate C |
|
Green beads |
White beads |
Green beads |
White beads |
Before |
9 |
10 |
21 |
12 |
Change |
+ ? |
+ ? |
- ? |
- ? |
After |
1 u |
1 u |
7 p |
3 p |
50% =
50100 = 12
70% =
70100 = 710
Number of green beads = 9 + 21 = 30
Number of white beads = 10 + 12 = 22
1 u + 7 p = 30 --- (1)
1 u + 3 p = 22 ---(2)
(1) - (2)
(1 u + 7 p) - (1 u + 3 p) = 30 - 22
7 p - 3 p = 8
4 p = 8
1 p = 8 ÷ 4 = 2
From (2):
1 u + 3 p = 22
1 u + 3 x 2 = 22
1 u + 6 = 22
1 u = 22 - 6 = 16
Number of white beads to be removed from Crate C to Crate B
= 12 - 3 p
= 12 - 3 x 2
= 12 - 6
= 6
Number of green beads to be removed from Crate C to Crate B
= 1 u - 9
= 16 - 9
= 7
Total number of white and green beads to be removed from Crate C to Crate B
= 6 + 7
= 13
Answer(s): 13