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