A fruit seller sells only persimmons and starfruits. The ratio of persimmons to starfruits is 2 : 3. A total of 108 fruits are added. The number of persimmons becomes 4 times as many as before and the number of starfruits becomes 3 times as many as before. How many fruits are there in the end?
| |
Comparing persimmons
at first and
in the end |
Persimmons |
Starfruits |
Comparing starfruits
at first and
in the end |
| Before |
1x2 =
2 u |
2 u |
3 u |
1x3 =
3 u |
| Change |
|
+ 108 |
|
| After |
4x2 =
8 u |
8 u |
9 u |
3x3 =
9 u |
The number of starfruits at first is repeated. Make the number of starfruits at first the same. LCM of 1 and 3 is 3.
The number of persimmons at first is repeated. Make the number of persimmons at first the same. LCM of 1 and 2 is 2.
Number of fruits at first
= 2 u + 3 u
= 5 u
Number of fruits in the end
= 8 u + 9 u
= 17 u
Number of fruits added
= 17 u - 5 u
= 12 u
12 u = 108
1 u = 108 ÷ 12 = 9
Number of fruits in the end
= 17 u
= 17 x 9
= 153
Answer(s): 153
