Peter bought some kiwis and mangosteens in the ratio of 2 : 5 . After buying another 154 fruits each, the ratio becomes 8 : 9. Find the number of kiwis and mangosteens he has now.
| |
Kiwis |
Mangosteens |
Difference |
| Before |
2x1 =
2 u |
5x1 =
5 u |
3x1 =
3 u |
| Change |
+ 154 |
+ 154 |
|
| After |
8x3 =
24 u |
9x3 =
27 u |
1x3 =
3 u |
Since the same number of fruits bought for each type of fruits is the same, the difference in the number of kiwis and mangosteens at first and in the end remains unchanged.
Make the difference in the number of kiwis and mangosteens the same. LCM of 3 and 1 is 3.
Increase in the number of kiwis
= 24 u - 2 u
= 22 u
22 u = 154
1 u = 154 ÷ 22 = 7
Number of mangosteens and kiwis that $(Fred) has now
= 24 u + 27 u
= 51 u
= 51 x 7
= 357
Answer(s): 357
