Andy bought some pomegranates and pears in the ratio of 1 : 5 . After buying another 42 fruits each, the ratio becomes 5 : 11. Find the number of pomegranates and pears he had at first.
| |
Pomegranates |
Pears |
Difference |
| Before |
1x3 =
3 u |
5x3 =
15 u |
4x3 =
12 u |
| Change |
+ 42 |
+ 42 |
|
| 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 pomegranates and pears at first and in the end remains unchanged.
Make the difference in the number of pomegranates and pears the same. LCM of 4 and 6 is 12.
Increase in the number of pomegranates
= 10 u - 3 u
= 7 u
7 u = 42
1 u = 42 ÷ 7 = 6
Number of pears and pomegranates that Andy had at first
= 3 u + 15 u
= 18 u
= 18 x 6
= 108
Answer(s): 108
