Pierre bought some lemons and starfruits in the ratio of 1 : 4 . After buying another 48 fruits each, the ratio becomes 7 : 12. Find the number of lemons and starfruits he has now.
| |
Lemons |
Starfruits |
Difference |
| Before |
1x5 =
5 u |
4x5 =
20 u |
3x5 =
15 u |
| Change |
+ 48 |
+ 48 |
|
| 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 lemons and starfruits at first and in the end remains unchanged.
Make the difference in the number of lemons and starfruits the same. LCM of 3 and 5 is 15.
Increase in the number of lemons
= 21 u - 5 u
= 16 u
16 u = 48
1 u = 48 ÷ 16 = 3
Number of starfruits and lemons that $(Fred) has now
= 21 u + 36 u
= 57 u
= 57 x 3
= 171
Answer(s): 171
