Marion had some persimmons and lemons in 2 baskets. In Basket P, the number of persimmons to the number of lemons was in the ratio of 5 : 6. In Basket Q, there were thrice as many persimmons as lemons. After Marion transferred
23 of the lemons from Basket P to Basket Q, the number of fruits left in Basket P was 266 and the ratio of the number of persimmons to the number of lemons in Basket B became 2 : 7. How many fruits were in Basket Q in the end?
|
Basket P |
Basket Q |
|
Persimmons |
Lemons |
Persimmons |
Lemons |
Before |
5 u |
6 u |
3x2 = 6 p |
1x2 = 2 p |
Change |
|
- 4 u |
|
+ 4 u (+ 19 p) |
After |
5 u |
2 u |
2x3 = 6 p |
7x3 = 21 p |
Number of lemons that Marion transferred from Basket P to Basket Q
=
23 x 6 u
= 4 u
Total number of fruits in Basket P in the end
= 5 u + 2 u
= 7 u
7 u = 266
1 u = 266 ÷ 7 = 38
The number of persimmons in Basket Q is the unchanged quantity.
LCM of 3 and 2 is 6.
Number of lemons that Marion transferred from Basket P to Basket Q
= 4 u
= 4 x 38
= 152
Increase in the number of lemons that due to the transfer from Basket P to Basket Q
= 21 p - 2 p
= 19 p
19 p = 4 u
19 p = 152
1 p = 152 ÷ 19 = 8
Number of fruits in Basket Q in the end
= 6 p + 21 p
= 27 p
= 27 x 8
= 216
Answer(s): 216