There were some peaches in 3 bags, K, L and M. 20% of the number of peaches in Bag K was equal to 10% of the number of peaches in Bag L. The number of peaches in Bag M was 60% of the total number of peaches. After Bryan removed 20% of the peaches in Bag M, there were 32 more peaches in Bag M than in Bag L. In the end, how many peaches should be transferred from Bag L to Bag M so that the number of peaches in Bag K would be the same as Bag L?
Bag K |
Bag L |
Bag M |
1x2 |
2x2 |
|
2x3 |
3x3 |
2 u |
4 u |
9 u |
|
Bag K |
Bag L |
Bag M |
Before |
2 u |
4 u |
9 u |
Change |
|
|
- 1.8 u |
After |
2 u |
4 u |
7.2 u |
20% =
20100 =
15 10% =
10100 =
110 15 Bag K =
110 Bag L
Bag K : Bag L
5 : 10
1 : 2
60% =
60100 =
35The total number of peaches in Bag K and Bag L is the combined repeated identity. Make the total number of peaches in Box K and Bag L the same. LCM of 3 and 2 = 6
Number of peaches removed from Bag M
=
20100 x 9 u
= 1.8 u
Number of peaches left in Bag M
= 9 u - 1.8 u
= 7.2 u
Number of more peaches in Bag M than Bag L
= 7.2 u - 4 u
= 3.2 u
3.2 u = 32
1 u = 32 ÷ 3.2 = 10
|
Bag K |
Bag L |
Bag M |
Before |
2 u |
4 u |
7.2 u |
Change |
|
- 2 u |
+ 2 u |
After |
2 u |
2 u |
9.2 u |
Number of peaches to be transferred from Bag L to Bag M so that the number of peaches in Bag K would be the same as Bag L.
= 4 u - 2 u
= 2 u
= 2 x 10
= 20
Answer(s): 20