The ratio of pears to dragonfruits is 3 : 8. If 55 dragonfruits are added, the ratio of pears to dragonfruits will be 2 : 7. How many dragonfruits are there?
| |
Pears |
Dragonfruits |
| Before |
3x2 =
6 u |
8x2 =
16 u |
| Change |
|
+ 55 |
| After |
2x3 =
6 u |
7x3 =
21 u |
The number of pears at first and in the end remains unchanged. Make the number of pears at first and in the end the same. LCM of 3 and 2 is 6.
Number of dragonfruits added
= 21 u - 16 u
= 5 u
5 u = 55
1 u = 55 ÷ 5 = 11
Number of dragonfruits
= 16 u
= 16 x 11
= 176
Answer(s): 176
