Ahmad bought some mangoes and pomegranates in the ratio of 1 : 5 . After buying another 21 fruits each, the ratio becomes 5 : 11. Find the number of mangoes and pomegranates he had at first.
| |
Mangoes |
Pomegranates |
Difference |
| Before |
1x3 =
3 u |
5x3 =
15 u |
4x3 =
12 u |
| Change |
+ 21 |
+ 21 |
|
| After |
5x2 =
10 u |
11x2 =
22 u |
6x2 =
12 u |
Since the same number of fruits bought for each type of fruits is the same, the difference in the number of mangoes and pomegranates at first and in the end remains unchanged.
Make the difference in the number of mangoes and pomegranates the same. LCM of 4 and 6 is 12.
Increase in the number of mangoes
= 10 u - 3 u
= 7 u
7 u = 21
1 u = 21 ÷ 7 = 3
Number of pomegranates and mangoes that Ahmad had at first
= 3 u + 15 u
= 18 u
= 18 x 3
= 54
Answer(s): 54
