Oscar bought some lemons and dragonfruits in the ratio of 1 : 5 . After buying another 115 fruits each, the ratio becomes 7 : 12. Find the number of lemons and dragonfruits he had at first.
| |
Lemons |
Dragonfruits |
Difference |
| Before |
1x5 =
5 u |
5x5 =
25 u |
4x5 =
20 u |
| Change |
+ 115 |
+ 115 |
|
| After |
7x4 =
28 u |
12x4 =
48 u |
5x4 =
20 u |
Since the same number of fruits bought for each type of fruits is the same, the difference in the number of lemons and dragonfruits at first and in the end remains unchanged.
Make the difference in the number of lemons and dragonfruits the same. LCM of 4 and 5 is 20.
Increase in the number of lemons
= 28 u - 5 u
= 23 u
23 u = 115
1 u = 115 ÷ 23 = 5
Number of dragonfruits and lemons that Oscar had at first
= 5 u + 25 u
= 30 u
= 30 x 5
= 150
Answer(s): 150
