Crate H contains 5 green balls and 17 pink balls. Crate J contains 28 green balls and 8 pink balls. How many pink balls and green balls must be removed from Crate J to put into Crate H so that 50% of the balls in Crate A are green and 70% of the balls in Crate J are green?
|
Crate H |
Crate J |
|
Green balls |
Pink balls |
Green balls |
Pink balls |
Before |
5 |
17 |
28 |
8 |
Change |
+ ? |
+ ? |
- ? |
- ? |
After |
1 u |
1 u |
7 p |
3 p |
50% =
50100 = 12
70% =
70100 = 710
Number of green balls = 5 + 28 = 33
Number of pink balls = 17 + 8 = 25
1 u + 7 p = 33 --- (1)
1 u + 3 p = 25 ---(2)
(1) - (2)
(1 u + 7 p) - (1 u + 3 p) = 33 - 25
7 p - 3 p = 8
4 p = 8
1 p = 8 ÷ 4 = 2
From (2):
1 u + 3 p = 25
1 u + 3 x 2 = 25
1 u + 6 = 25
1 u = 25 - 6 = 19
Number of pink balls to be removed from Crate J to Crate H
= 8 - 3 p
= 8 - 3 x 2
= 8 - 6
= 2
Number of green balls to be removed from Crate J to Crate H
= 1 u - 5
= 19 - 5
= 14
Total number of pink and green balls to be removed from Crate J to Crate H
= 2 + 14
= 16
Answer(s): 16