Sam bought some kiwis and persimmons in the ratio of 1 : 4 . After buying another 6 fruits each, the ratio becomes 5 : 11. Find the number of kiwis and persimmons he had at first.
| |
Kiwis |
Persimmons |
Difference |
| Before |
1x2 =
2 u |
4x2 =
8 u |
3x2 =
6 u |
| Change |
+ 6 |
+ 6 |
|
| 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 kiwis and persimmons at first and in the end remains unchanged.
Make the difference in the number of kiwis and persimmons the same. LCM of 3 and 6 is 6.
Increase in the number of kiwis
= 5 u - 2 u
= 3 u
3 u = 6
1 u = 6 ÷ 3 = 2
Number of persimmons and kiwis that Sam had at first
= 2 u + 8 u
= 10 u
= 10 x 2
= 20
Answer(s): 20
