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