The ratio of dragonfruits to grapefruits is 3 : 5. If 144 grapefruits are added, the ratio of dragonfruits to grapefruits will be 1 : 7. How many dragonfruits are there?
|
Dragonfruits |
Grapefruits |
Before |
3x1 = 3 u |
5x1 = 5 u |
Change |
|
+ 144 |
After |
1x3 = 3 u |
7x3 = 21 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 3 and 1 is 3.
Number of grapefruits added
= 21 u - 5 u
= 16 u
16 u = 144
1 u = 144 ÷ 16 = 9
Number of dragonfruits
= 3 u
= 3 x 9
= 27
Answer(s): 27