There were some pink stickers and white stickers. The stickers were packed into 2 bags. At first, Bag W contained 230 stickers and 10% of them were white stickers. Bag X contained 950 stickers and 60% of them were white stickers. How many pink stickers and white stickers in total must be moved from Bag W to Bag X such that 25% of the stickers in Bag W are pink and 50% of the stickers in Bag X are white?
|
Bag W |
Bag X |
Total |
230 |
950 |
|
White stickers |
Pink stickers |
White stickers |
Pink stickers |
Before |
23 |
207 |
570 |
380 |
Change |
- ? |
- ? |
+ ? |
+ ? |
After |
3 u |
1 u |
1 p |
1 p |
Number of white stickers in Bag W at first
= 10% x 230
=
10100 x 230
= 23
Number of pink stickers in Bag W at first
= 230 - 23
= 207
Number of white stickers in Bag X at first
= 60% x 950
=
60100 x 950
= 570
Number of pink stickers in Bag X at first
= 950 - 570
= 380
Bag W in the end25% =
25100 =
14 White stickers : Pink stickers = 3 : 1
Bag X in the end50% =
50100 =
12White stickers : Pink stickers = 1 : 1
Total number of white stickers = 3 u + 1 p
3 u + 1 p = 23 + 570
3 u + 1 p = 593
1 p = 593 - 3 u --- (1)
Total number of pink stickers = 1 u + 1 p
1 u + 1 p = 207 + 380
1 u + 1 p = 587
1 p = 587 - 1 u --- (2)
(2) = (1)
587 - 1 u = 593 - 3 u
3 u - 1 u = 593 - 587
2 u = 6
1 u = 6 ÷ 2 = 3
Total number of pink stickers and white stickers that must be moved from Bag W to Bag X
= 230 - 4 u
= 230 - 4 x 3
= 230 - 12
= 218
Answer(s): 218