Michael bought some lemons and kiwis in the ratio of 1 : 4 . After buying another 15 fruits each, the ratio becomes 5 : 11. Find the number of lemons and kiwis he had at first.
| |
Lemons |
Kiwis |
Difference |
| Before |
1x2 =
2 u |
4x2 =
8 u |
3x2 =
6 u |
| Change |
+ 15 |
+ 15 |
|
| 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 lemons and kiwis at first and in the end remains unchanged.
Make the difference in the number of lemons and kiwis the same. LCM of 3 and 6 is 6.
Increase in the number of lemons
= 5 u - 2 u
= 3 u
3 u = 15
1 u = 15 ÷ 3 = 5
Number of kiwis and lemons that Michael had at first
= 2 u + 8 u
= 10 u
= 10 x 5
= 50
Answer(s): 50
