The ratio of passion fruits to dragonfruits is 3 : 5. If 77 dragonfruits are added, the ratio of passion fruits to dragonfruits will be 2 : 7. How many dragonfruits are there?
| |
Passion Fruits |
Dragonfruits |
| Before |
3x2 =
6 u |
5x2 =
10 u |
| Change |
|
+ 77 |
| After |
2x3 =
6 u |
7x3 =
21 u |
The number of passion fruits at first and in the end remains unchanged. Make the number of passion fruits at first and in the end the same. LCM of 3 and 2 is 6.
Number of dragonfruits added
= 21 u - 10 u
= 11 u
11 u = 77
1 u = 77 ÷ 11 = 7
Number of dragonfruits
= 10 u
= 10 x 7
= 70
Answer(s): 70
