Elijah bought some peaches and starfruits in the ratio of 1 : 5 . After buying another 93 fruits each, the ratio becomes 8 : 9. Find the number of peaches and starfruits he had at first.
| |
Peaches |
Starfruits |
Difference |
| Before |
1x1 =
1 u |
5x1 =
5 u |
4x1 =
4 u |
| Change |
+ 93 |
+ 93 |
|
| After |
8x4 =
32 u |
9x4 =
36 u |
1x4 =
4 u |
Since the same number of fruits bought for each type of fruits is the same, the difference in the number of peaches and starfruits at first and in the end remains unchanged.
Make the difference in the number of peaches and starfruits the same. LCM of 4 and 1 is 4.
Increase in the number of peaches
= 32 u - 1 u
= 31 u
31 u = 93
1 u = 93 ÷ 31 = 3
Number of starfruits and peaches that Elijah had at first
= 1 u + 5 u
= 6 u
= 6 x 3
= 18
Answer(s): 18
