The ratio of dragonfruits to passion fruits is 5 : 7. If 576 passion fruits are added, the ratio of dragonfruits to passion fruits will be 1 : 11. How many dragonfruits are there?
|
Dragonfruits |
Passion Fruits |
Before |
5x1 = 5 u |
7x1 = 7 u |
Change |
|
+ 576 |
After |
1x5 = 5 u |
11x5 = 55 u |
The number of dragonfruits at first and in the end remains unchanged. Make the number of dragonfruits at first and in the end the same. LCM of 5 and 1 is 5.
Number of passion fruits added
= 55 u - 7 u
= 48 u
48 u = 576
1 u = 576 ÷ 48 = 12
Number of dragonfruits
= 5 u
= 5 x 12
= 60
Answer(s): 60