The ratio of dragonfruits to grapefruits is 3 : 8. If 85 grapefruits are added, the ratio of dragonfruits to grapefruits will be 2 : 11. How many dragonfruits are there?
| |
Dragonfruits |
Grapefruits |
| Before |
3x2 =
6 u |
8x2 =
16 u |
| Change |
|
+ 85 |
| After |
2x3 =
6 u |
11x3 =
33 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 2 is 6.
Number of grapefruits added
= 33 u - 16 u
= 17 u
17 u = 85
1 u = 85 ÷ 17 = 5
Number of dragonfruits
= 6 u
= 6 x 5
= 30
Answer(s): 30
