The ratio of grapefruits to dragonfruits is 5 : 7. If 477 dragonfruits are added, the ratio of grapefruits to dragonfruits will be 1 : 12. How many dragonfruits are there?
|
Grapefruits |
Dragonfruits |
Before |
5x1 = 5 u |
7x1 = 7 u |
Change |
|
+ 477 |
After |
1x5 = 5 u |
12x5 = 60 u |
The number of grapefruits at first and in the end remains unchanged. Make the number of grapefruits at first and in the end the same. LCM of 5 and 1 is 5.
Number of dragonfruits added
= 60 u - 7 u
= 53 u
53 u = 477
1 u = 477 ÷ 53 = 9
Number of dragonfruits
= 7 u
= 7 x 9
= 63
Answer(s): 63