Seth had dragonfruits and passion fruits. The ratio of dragonfruits to passion fruits was 6 : 5. After
34 of the dragonfruits and 45 passion fruits were sold, there were 3 times as many dragonfruits as passion fruits left. How many dragonfruits and passion fruits were sold?
|
Dragonfruits |
Passion Fruits |
Comparing dragonfruits and passion fruits at first |
6x2 = 12 u |
5x2 = 10 u |
Before |
4x3 = 12 u |
|
Change |
- 3x3 = - 9 u |
- 45 |
After |
1x3 = 3 u |
|
Comparing dragonfruits and passion fruits in the end |
3 u |
1 u |
The number of dragonfruits at first is repeated. Make the number of dragonfruits at first the same. LCM of 6 and 4 is 12.
Number of passion fruits sold
= 10 u - 1 u
= 9 u
9 u = 45
1 u = 45 ÷ 9 = 5
Number of dragonfruits and passion fruits sold
= 9 u + 45
= 9 x 5 + 45
= 45 + 45
= 90
Answer(s): 90