Valen bought some mangosteens and kiwis in the ratio of 1 : 3 . After buying another 45 fruits each, the ratio becomes 8 : 9. Find the number of mangosteens and kiwis he had at first.
| |
Mangosteens |
Kiwis |
Difference |
| Before |
1x1 =
1 u |
3x1 =
3 u |
2x1 =
2 u |
| Change |
+ 45 |
+ 45 |
|
| After |
8x2 =
16 u |
9x2 =
18 u |
1x2 =
2 u |
Since the same number of fruits bought for each type of fruits is the same, the difference in the number of mangosteens and kiwis at first and in the end remains unchanged.
Make the difference in the number of mangosteens and kiwis the same. LCM of 2 and 1 is 2.
Increase in the number of mangosteens
= 16 u - 1 u
= 15 u
15 u = 45
1 u = 45 ÷ 15 = 3
Number of kiwis and mangosteens that Valen had at first
= 1 u + 3 u
= 4 u
= 4 x 3
= 12
Answer(s): 12
