Neave bought some peaches and chikoos in the ratio of 1 : 5 . After buying another 46 fruits each, the ratio becomes 7 : 12. Find the number of peaches and chikoos he had at first.
| |
Peaches |
Chikoos |
Difference |
| Before |
1x5 =
5 u |
5x5 =
25 u |
4x5 =
20 u |
| Change |
+ 46 |
+ 46 |
|
| After |
7x4 =
28 u |
12x4 =
48 u |
5x4 =
20 u |
Since the same number of fruits bought for each type of fruits is the same, the difference in the number of peaches and chikoos at first and in the end remains unchanged.
Make the difference in the number of peaches and chikoos the same. LCM of 4 and 5 is 20.
Increase in the number of peaches
= 28 u - 5 u
= 23 u
23 u = 46
1 u = 46 ÷ 23 = 2
Number of chikoos and peaches that Neave had at first
= 5 u + 25 u
= 30 u
= 30 x 2
= 60
Answer(s): 60
