Eric bought some mangoes and persimmons in the ratio of 2 : 5 . After buying another 51 fruits each, the ratio becomes 7 : 9. Find the number of mangoes and persimmons he had at first.
| |
Mangoes |
Persimmons |
Difference |
| Before |
2x2 =
4 u |
5x2 =
10 u |
3x2 =
6 u |
| Change |
+ 51 |
+ 51 |
|
| After |
7x3 =
21 u |
9x3 =
27 u |
2x3 =
6 u |
Since the same number of fruits bought for each type of fruits is the same, the difference in the number of mangoes and persimmons at first and in the end remains unchanged.
Make the difference in the number of mangoes and persimmons the same. LCM of 3 and 2 is 6.
Increase in the number of mangoes
= 21 u - 4 u
= 17 u
17 u = 51
1 u = 51 ÷ 17 = 3
Number of persimmons and mangoes that Eric had at first
= 4 u + 10 u
= 14 u
= 14 x 3
= 42
Answer(s): 42
