The ratio of starfruits to dragonfruits is 3 : 8. If 64 dragonfruits are added, the ratio of starfruits to dragonfruits will be 1 : 8. How many dragonfruits are there?
| |
Starfruits |
Dragonfruits |
| Before |
3x1 =
3 u |
8x1 =
8 u |
| Change |
|
+ 64 |
| After |
1x3 =
3 u |
8x3 =
24 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 dragonfruits added
= 24 u - 8 u
= 16 u
16 u = 64
1 u = 64 ÷ 16 = 4
Number of dragonfruits
= 8 u
= 8 x 4
= 32
Answer(s): 32
