A fruit seller sells only mangoes and pomegranates. The ratio of mangoes to pomegranates is 4 : 5. A total of 247 fruits are added. The number of mangoes becomes 2 times as many as before and the number of pomegranates becomes 4 times as many as before. How many fruits are there in the end?
|
Comparing mangoes at first and in the end |
Mangoes |
Pomegranates |
Comparing pomegranates at first and in the end |
Before |
1x4 = 4 u |
4 u |
5 u |
1x5 = 5 u |
Change |
|
+ 247 |
|
After |
2x4 = 8 u |
8 u |
20 u |
4x5 = 20 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 mangoes at first is repeated. Make the number of mangoes 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
= 8 u + 20 u
= 28 u
Number of fruits added
= 28 u - 9 u
= 19 u
19 u = 247
1 u = 247 ÷ 19 = 13
Number of fruits in the end
= 28 u
= 28 x 13
= 364
Answer(s): 364