There were some starfruits in 3 bags, U, V and W. 25% of the number of starfruits in Bag U was equal to 10% of the number of starfruits in Bag V. The number of starfruits in Bag W was 60% of the total number of starfruits. After Jeremy removed 10% of the starfruits in Bag W, there were 178 more starfruits in Bag W than in Bag V. In the end, how many starfruits should be transferred from Bag V to Bag W so that the number of starfruits in Bag U would be the same as Bag V?
Bag U |
Bag V |
Bag W |
2x2 |
5x2 |
|
2x7 |
3x7 |
4 u |
10 u |
21 u |
|
Bag U |
Bag V |
Bag W |
Before |
4 u |
10 u |
21 u |
Change |
|
|
- 2.1 u |
After |
4 u |
10 u |
18.9 u |
25% =
25100 =
14 10% =
10100 =
110 14 Bag U =
110 Bag V
Bag U : Bag V
4 : 10
2 : 5
60% =
60100 =
35The total number of starfruits in Bag U and Bag V is the combined repeated identity. Make the total number of starfruits in Box U and Bag V the same. LCM of 7 and 2 = 14
Number of starfruits removed from Bag W
=
10100 x 21 u
= 2.1 u
Number of starfruits left in Bag W
= 21 u - 2.1 u
= 18.9 u
Number of more starfruits in Bag W than Bag V
= 18.9 u - 10 u
= 8.9 u
8.9 u = 178
1 u = 178 ÷ 8.9 = 20
|
Bag U |
Bag V |
Bag W |
Before |
4 u |
10 u |
18.9 u |
Change |
|
- 6 u |
+ 6 u |
After |
4 u |
4 u |
24.9 u |
Number of starfruits to be transferred from Bag V to Bag W so that the number of starfruits in Bag U would be the same as Bag V.
= 10 u - 4 u
= 6 u
= 6 x 20
= 120
Answer(s): 120