There were some green stickers and white stickers. The stickers were packed into 2 bags. At first, Box N contained 220 stickers and 30% of them were white stickers. Box P contained 650 stickers and 60% of them were white stickers. How many green stickers and white stickers in total must be moved from Box N to Box P such that 20% of the stickers in Box N are green and 50% of the stickers in Box P are white?
|
Box N |
Box P |
Total |
220 |
650 |
|
White stickers |
Green stickers |
White stickers |
Green stickers |
Before |
66 |
154 |
390 |
260 |
Change |
- ? |
- ? |
+ ? |
+ ? |
After |
4 u |
1 u |
1 p |
1 p |
Number of white stickers in Box N at first
= 30% x 220
=
30100 x 220
= 66
Number of green stickers in Box N at first
= 220 - 66
= 154
Number of white stickers in Box P at first
= 60% x 650
=
60100 x 650
= 390
Number of green stickers in Box P at first
= 650 - 390
= 260
Box N in the end20% =
20100 =
15 White stickers : Green stickers = 4 : 1
Box P in the end50% =
50100 =
12White stickers : Green stickers = 1 : 1
Total number of white stickers = 4 u + 1 p
4 u + 1 p = 66 + 390
4 u + 1 p = 456
1 p = 456 - 4 u --- (1)
Total number of green stickers = 1 u + 1 p
1 u + 1 p = 154 + 260
1 u + 1 p = 414
1 p = 414 - 1 u --- (2)
(2) = (1)
414 - 1 u = 456 - 4 u
4 u - 1 u = 456 - 414
3 u = 42
1 u = 42 ÷ 3 = 14
Total number of green stickers and white stickers that must be moved from Box N to Box P
= 220 - 5 u
= 220 - 5 x 14
= 220 - 70
= 150
Answer(s): 150