Jean had some passion fruits and starfruits in 2 containers. In Container V, the number of passion fruits to the number of starfruits was in the ratio of 3 : 10. In Container W, there were twice as many passion fruits as starfruits. After Jean transferred
25 of the starfruits from Container V to Container W, the number of fruits left in Container V was 90 and the ratio of the number of passion fruits to the number of starfruits in Container B became 6 : 7. How many fruits were in Container W in the end?
|
Container V |
Container W |
|
Passion Fruits |
Starfruits |
Passion Fruits |
Starfruits |
Before |
3 u |
10 u |
2x3 = 6 p |
1x3 = 3 p |
Change |
|
- 4 u |
|
+ 4 u (+ 4 p) |
After |
3 u |
6 u |
6x1 = 6 p |
7x1 = 7 p |
Number of starfruits that Jean transferred from Container V to Container W
=
25 x 10 u
= 4 u
Total number of fruits in Container V in the end
= 3 u + 6 u
= 9 u
9 u = 90
1 u = 90 ÷ 9 = 10
The number of passion fruits in Container W is the unchanged quantity.
LCM of 2 and 6 is 6.
Number of starfruits that Jean transferred from Container V to Container W
= 4 u
= 4 x 10
= 40
Increase in the number of starfruits that due to the transfer from Container V to Container W
= 7 p - 3 p
= 4 p
4 p = 4 u
4 p = 40
1 p = 40 ÷ 4 = 10
Number of fruits in Container W in the end
= 6 p + 7 p
= 13 p
= 13 x 10
= 130
Answer(s): 130