Fabian bought some dragonfruits and mangoes in the ratio of 2 : 5 . After buying another 132 fruits each, the ratio becomes 8 : 9. Find the number of dragonfruits and mangoes he had at first.
| |
Dragonfruits |
Mangoes |
Difference |
| Before |
2x1 =
2 u |
5x1 =
5 u |
3x1 =
3 u |
| Change |
+ 132 |
+ 132 |
|
| 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 dragonfruits and mangoes at first and in the end remains unchanged.
Make the difference in the number of dragonfruits and mangoes the same. LCM of 3 and 1 is 3.
Increase in the number of dragonfruits
= 24 u - 2 u
= 22 u
22 u = 132
1 u = 132 ÷ 22 = 6
Number of mangoes and dragonfruits that Fabian had at first
= 2 u + 5 u
= 7 u
= 7 x 6
= 42
Answer(s): 42
