Asher bought some pomegranates and dragonfruits in the ratio of 1 : 4 . After buying another 18 fruits each, the ratio becomes 5 : 11. Find the number of pomegranates and dragonfruits he has now.
| |
Pomegranates |
Dragonfruits |
Difference |
| Before |
1x2 =
2 u |
4x2 =
8 u |
3x2 =
6 u |
| Change |
+ 18 |
+ 18 |
|
| After |
5x1 =
5 u |
11x1 =
11 u |
6x1 =
6 u |
Since the same number of fruits bought for each type of fruits is the same, the difference in the number of pomegranates and dragonfruits at first and in the end remains unchanged.
Make the difference in the number of pomegranates and dragonfruits the same. LCM of 3 and 6 is 6.
Increase in the number of pomegranates
= 5 u - 2 u
= 3 u
3 u = 18
1 u = 18 ÷ 3 = 6
Number of dragonfruits and pomegranates that $(Fred) has now
= 5 u + 11 u
= 16 u
= 16 x 6
= 96
Answer(s): 96
