The ratio of guavas to dragonfruits is 2 : 5. If 102 dragonfruits are added, the ratio of guavas to dragonfruits will be 1 : 11. How many dragonfruits are there?
| |
Guavas |
Dragonfruits |
| Before |
2x1 =
2 u |
5x1 =
5 u |
| Change |
|
+ 102 |
| After |
1x2 =
2 u |
11x2 =
22 u |
The number of guavas at first and in the end remains unchanged. Make the number of guavas at first and in the end the same. LCM of 2 and 1 is 2.
Number of dragonfruits added
= 22 u - 5 u
= 17 u
17 u = 102
1 u = 102 ÷ 17 = 6
Number of dragonfruits
= 5 u
= 5 x 6
= 30
Answer(s): 30
