Ivan bought some dragonfruits and pomegranates in the ratio of 1 : 5 . After buying another 155 fruits each, the ratio becomes 8 : 9. Find the number of dragonfruits and pomegranates he had at first.
| |
Dragonfruits |
Pomegranates |
Difference |
| Before |
1x1 =
1 u |
5x1 =
5 u |
4x1 =
4 u |
| Change |
+ 155 |
+ 155 |
|
| After |
8x4 =
32 u |
9x4 =
36 u |
1x4 =
4 u |
Since the same number of fruits bought for each type of fruits is the same, the difference in the number of dragonfruits and pomegranates at first and in the end remains unchanged.
Make the difference in the number of dragonfruits and pomegranates the same. LCM of 4 and 1 is 4.
Increase in the number of dragonfruits
= 32 u - 1 u
= 31 u
31 u = 155
1 u = 155 ÷ 31 = 5
Number of pomegranates and dragonfruits that Ivan had at first
= 1 u + 5 u
= 6 u
= 6 x 5
= 30
Answer(s): 30
