Eric bought some starfruits and lemons in the ratio of 2 : 5 . After buying another 77 fruits each, the ratio becomes 7 : 12. Find the number of starfruits and lemons he has now.
| |
Starfruits |
Lemons |
Difference |
| Before |
2x5 =
10 u |
5x5 =
25 u |
3x5 =
15 u |
| Change |
+ 77 |
+ 77 |
|
| 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 starfruits and lemons at first and in the end remains unchanged.
Make the difference in the number of starfruits and lemons the same. LCM of 3 and 5 is 15.
Increase in the number of starfruits
= 21 u - 10 u
= 11 u
11 u = 77
1 u = 77 ÷ 11 = 7
Number of lemons and starfruits that $(Fred) has now
= 21 u + 36 u
= 57 u
= 57 x 7
= 399
Answer(s): 399
