There were some peaches in 3 boxes, S, T and U. 25% of the number of peaches in Box S was equal to 10% of the number of peaches in Box T. The number of peaches in Box U was 60% of the total number of peaches. After Charlie removed 10% of the peaches in Box U, there were 89 more peaches in Box U than in Box T. In the end, how many peaches should be transferred from Box T to Box U so that the number of peaches in Box S would be the same as Box T?
Box S |
Box T |
Box U |
2x2 |
5x2 |
|
2x7 |
3x7 |
4 u |
10 u |
21 u |
|
Box S |
Box T |
Box U |
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 Box S =
110 Box T
Box S : Box T
4 : 10
2 : 5
60% =
60100 =
35The total number of peaches in Box S and Box T is the combined repeated identity. Make the total number of peaches in Box S and Box T the same. LCM of 7 and 2 = 14
Number of peaches removed from Box U
=
10100 x 21 u
= 2.1 u
Number of peaches left in Box U
= 21 u - 2.1 u
= 18.9 u
Number of more peaches in Box U than Box T
= 18.9 u - 10 u
= 8.9 u
8.9 u = 89
1 u = 89 ÷ 8.9 = 10
|
Box S |
Box T |
Box U |
Before |
4 u |
10 u |
18.9 u |
Change |
|
- 6 u |
+ 6 u |
After |
4 u |
4 u |
24.9 u |
Number of peaches to be transferred from Box T to Box U so that the number of peaches in Box S would be the same as Box T.
= 10 u - 4 u
= 6 u
= 6 x 10
= 60
Answer(s): 60