Warren bought some peaches and lemons in the ratio of 1 : 4 . After buying another 32 fruits each, the ratio becomes 7 : 12. Find the number of peaches and lemons he had at first.
| |
Peaches |
Lemons |
Difference |
| Before |
1x5 =
5 u |
4x5 =
20 u |
3x5 =
15 u |
| Change |
+ 32 |
+ 32 |
|
| After |
7x3 =
21 u |
12x3 =
36 u |
5x3 =
15 u |
Since the same number of fruits bought for each type of fruits is the same, the difference in the number of peaches and lemons at first and in the end remains unchanged.
Make the difference in the number of peaches and lemons the same. LCM of 3 and 5 is 15.
Increase in the number of peaches
= 21 u - 5 u
= 16 u
16 u = 32
1 u = 32 ÷ 16 = 2
Number of lemons and peaches that Warren had at first
= 5 u + 20 u
= 25 u
= 25 x 2
= 50
Answer(s): 50
