A fruit seller sells only pomegranates and starfruits. The ratio of pomegranates to starfruits is 2 : 5. A total of 18 fruits are added. The number of pomegranates becomes 3 times as many as before and the number of starfruits becomes 2 times as many as before. How many fruits are there in the end?
|
Comparing pomegranates at first and in the end |
Pomegranates |
Starfruits |
Comparing starfruits at first and in the end |
Before |
1x2 = 2 u |
2 u |
5 u |
1x5 = 5 u |
Change |
|
+ 18 |
|
After |
3x2 = 6 u |
6 u |
10 u |
2x5 = 10 u |
The number of starfruits at first is repeated. Make the number of starfruits at first the same. LCM of 1 and 5 is 5.
The number of pomegranates at first is repeated. Make the number of pomegranates at first the same. LCM of 1 and 2 is 2.
Number of fruits at first
= 2 u + 5 u
= 7 u
Number of fruits in the end
= 6 u + 10 u
= 16 u
Number of fruits added
= 16 u - 7 u
= 9 u
9 u = 18
1 u = 18 ÷ 9 = 2
Number of fruits in the end
= 16 u
= 16 x 2
= 32
Answer(s): 32