Carl bought some passion fruits and mangoes in the ratio of 2 : 5 . After buying another 51 fruits each, the ratio becomes 7 : 9. Find the number of passion fruits and mangoes he had at first.
| |
Passion Fruits |
Mangoes |
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 passion fruits and mangoes at first and in the end remains unchanged.
Make the difference in the number of passion fruits and mangoes the same. LCM of 3 and 2 is 6.
Increase in the number of passion fruits
= 21 u - 4 u
= 17 u
17 u = 51
1 u = 51 ÷ 17 = 3
Number of mangoes and passion fruits that Carl had at first
= 4 u + 10 u
= 14 u
= 14 x 3
= 42
Answer(s): 42
