Mark bought some lemons and mangoes in the ratio of 1 : 4 . After buying another 138 fruits each, the ratio becomes 8 : 9. Find the number of lemons and mangoes he had at first.
| |
Lemons |
Mangoes |
Difference |
| Before |
1x1 =
1 u |
4x1 =
4 u |
3x1 =
3 u |
| Change |
+ 138 |
+ 138 |
|
| 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 lemons and mangoes at first and in the end remains unchanged.
Make the difference in the number of lemons and mangoes the same. LCM of 3 and 1 is 3.
Increase in the number of lemons
= 24 u - 1 u
= 23 u
23 u = 138
1 u = 138 ÷ 23 = 6
Number of mangoes and lemons that Mark had at first
= 1 u + 4 u
= 5 u
= 5 x 6
= 30
Answer(s): 30
