There were some peaches in 3 baskets, W, X and Y. 25% of the number of peaches in Basket W was equal to 10% of the number of peaches in Basket X. The number of peaches in Basket Y was 70% of the total number of peaches. After Michael removed 10% of the peaches in Basket Y, there were 1455 more peaches in Basket Y than in Basket X. In the end, how many peaches should be transferred from Basket X to Basket Y so that the number of peaches in Basket W would be the same as Basket X?
Basket W |
Basket X |
Basket Y |
2x3 |
5x3 |
|
3x7 |
7x7 |
6 u |
15 u |
49 u |
|
Basket W |
Basket X |
Basket Y |
Before |
6 u |
15 u |
49 u |
Change |
|
|
- 4.9 u |
After |
6 u |
15 u |
44.1 u |
25% =
25100 =
14 10% =
10100 =
110 14 Basket W =
110 Basket X
Basket W : Basket X
4 : 10
2 : 5
70% =
70100 =
710The total number of peaches in Basket W and Basket X is the combined repeated identity. Make the total number of peaches in Box W and Basket X the same. LCM of 7 and 3 = 21
Number of peaches removed from Basket Y
=
10100 x 49 u
= 4.9 u
Number of peaches left in Basket Y
= 49 u - 4.9 u
= 44.1 u
Number of more peaches in Basket Y than Basket X
= 44.1 u - 15 u
= 29.1 u
29.1 u = 1455
1 u = 1455 ÷ 29.1 = 50
|
Basket W |
Basket X |
Basket Y |
Before |
6 u |
15 u |
44.1 u |
Change |
|
- 9 u |
+ 9 u |
After |
6 u |
6 u |
53.1 u |
Number of peaches to be transferred from Basket X to Basket Y so that the number of peaches in Basket W would be the same as Basket X.
= 15 u - 6 u
= 9 u
= 9 x 50
= 450
Answer(s): 450