The ratio of starfruits to passion fruits is 3 : 7. If 16 passion fruits are added, the ratio of starfruits to passion fruits will be 1 : 5. How many starfruits are there?
|
Starfruits |
Passion Fruits |
Before |
3x1 = 3 u |
7x1 = 7 u |
Change |
|
+ 16 |
After |
1x3 = 3 u |
5x3 = 15 u |
The number of starfruits at first and in the end remains unchanged. Make the number of starfruits at first and in the end the same. LCM of 3 and 1 is 3.
Number of passion fruits added
= 15 u - 7 u
= 8 u
8 u = 16
1 u = 16 ÷ 8 = 2
Number of starfruits
= 3 u
= 3 x 2
= 6
Answer(s): 6