Zane bought some persimmons and kiwis in the ratio of 1 : 3 . After buying another 6 fruits each, the ratio becomes 5 : 12. Find the number of persimmons and kiwis he had at first.
| |
Persimmons |
Kiwis |
Difference |
| Before |
1x7 =
7 u |
3x7 =
21 u |
2x7 =
14 u |
| Change |
+ 6 |
+ 6 |
|
| After |
5x2 =
10 u |
12x2 =
24 u |
7x2 =
14 u |
Since the same number of fruits bought for each type of fruits is the same, the difference in the number of persimmons and kiwis at first and in the end remains unchanged.
Make the difference in the number of persimmons and kiwis the same. LCM of 2 and 7 is 14.
Increase in the number of persimmons
= 10 u - 7 u
= 3 u
3 u = 6
1 u = 6 ÷ 3 = 2
Number of kiwis and persimmons that Zane had at first
= 7 u + 21 u
= 28 u
= 28 x 2
= 56
Answer(s): 56
