There were some peaches in 3 baskets, G, H and J. 25% of the number of peaches in Basket G was equal to 10% of the number of peaches in Basket H. The number of peaches in Basket J was 60% of the total number of peaches. After Billy removed 25% of the peaches in Basket J, there were 230 more peaches in Basket J than in Basket H. In the end, how many peaches should be transferred from Basket H to Basket J so that the number of peaches in Basket G would be the same as Basket H?
Basket G |
Basket H |
Basket J |
2x2 |
5x2 |
|
2x7 |
3x7 |
4 u |
10 u |
21 u |
|
Basket G |
Basket H |
Basket J |
Before |
4 u |
10 u |
21 u |
Change |
|
|
- 5.25 u |
After |
4 u |
10 u |
15.75 u |
25% =
25100 =
14 10% =
10100 =
110 14 Basket G =
110 Basket H
Basket G : Basket H
4 : 10
2 : 5
60% =
60100 =
35The total number of peaches in Basket G and Basket H is the combined repeated identity. Make the total number of peaches in Box G and Basket H the same. LCM of 7 and 2 = 14
Number of peaches removed from Basket J
=
25100 x 21 u
= 5.25 u
Number of peaches left in Basket J
= 21 u - 5.25 u
= 15.75 u
Number of more peaches in Basket J than Basket H
= 15.75 u - 10 u
= 5.75 u
5.75 u = 230
1 u = 230 ÷ 5.75 = 40
|
Basket G |
Basket H |
Basket J |
Before |
4 u |
10 u |
15.75 u |
Change |
|
- 6 u |
+ 6 u |
After |
4 u |
4 u |
21.75 u |
Number of peaches to be transferred from Basket H to Basket J so that the number of peaches in Basket G would be the same as Basket H.
= 10 u - 4 u
= 6 u
= 6 x 40
= 240
Answer(s): 240