A fruit seller sells only starfruits and pomegranates. The ratio of starfruits to pomegranates is 4 : 5. A total of 374 fruits are added. The number of starfruits becomes 4 times as many as before and the number of pomegranates becomes 3 times as many as before. How many fruits are there in the end?
|
Comparing starfruits at first and in the end |
Starfruits |
Pomegranates |
Comparing pomegranates at first and in the end |
Before |
1x4 = 4 u |
4 u |
5 u |
1x5 = 5 u |
Change |
|
+ 374 |
|
After |
4x4 = 16 u |
16 u |
15 u |
3x5 = 15 u |
The number of pomegranates at first is repeated. Make the number of pomegranates at first the same. LCM of 1 and 5 is 5.
The number of starfruits at first is repeated. Make the number of starfruits at first the same. LCM of 1 and 4 is 4.
Number of fruits at first
= 4 u + 5 u
= 9 u
Number of fruits in the end
= 16 u + 15 u
= 31 u
Number of fruits added
= 31 u - 9 u
= 22 u
22 u = 374
1 u = 374 ÷ 22 = 17
Number of fruits in the end
= 31 u
= 31 x 17
= 527
Answer(s): 527