A fruit seller sells only guavas and pomegranates. The ratio of guavas to pomegranates is 3 : 5. A total of 136 fruits are added. The number of guavas becomes 2 times as many as before and the number of pomegranates becomes 2 times as many as before. How many fruits are there in the end?
|
Comparing guavas at first and in the end |
Guavas |
Pomegranates |
Comparing pomegranates at first and in the end |
Before |
1x3 = 3 u |
3 u |
5 u |
1x5 = 5 u |
Change |
|
+ 136 |
|
After |
2x3 = 6 u |
6 u |
10 u |
2x5 = 10 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 guavas at first is repeated. Make the number of guavas at first the same. LCM of 1 and 3 is 3.
Number of fruits at first
= 3 u + 5 u
= 8 u
Number of fruits in the end
= 6 u + 10 u
= 16 u
Number of fruits added
= 16 u - 8 u
= 8 u
8 u = 136
1 u = 136 ÷ 8 = 17
Number of fruits in the end
= 16 u
= 16 x 17
= 272
Answer(s): 272