The ratio of dragonfruits to pomegranates is 5 : 7. If 340 pomegranates are added, the ratio of dragonfruits to pomegranates will be 3 : 11. How many pomegranates are there?
| |
Dragonfruits |
Pomegranates |
| Before |
5x3 =
15 u |
7x3 =
21 u |
| Change |
|
+ 340 |
| After |
3x5 =
15 u |
11x5 =
55 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 5 and 3 is 15.
Number of pomegranates added
= 55 u - 21 u
= 34 u
34 u = 340
1 u = 340 ÷ 34 = 10
Number of pomegranates
= 21 u
= 21 x 10
= 210
Answer(s): 210
