A fruit seller sells only kiwis and passion fruits. The ratio of kiwis to passion fruits is 1 : 3. A total of 133 fruits are added. The number of kiwis becomes 2 times as many as before and the number of passion fruits becomes 3 times as many as before. How many fruits are there in the end?
|
Comparing kiwis at first and in the end |
Kiwis |
Passion Fruits |
Comparing passion fruits at first and in the end |
Before |
1x1 = 1 u |
1 u |
3 u |
1x3 = 3 u |
Change |
|
+ 133 |
|
After |
2x1 = 2 u |
2 u |
9 u |
3x3 = 9 u |
The number of passion fruits at first is repeated. Make the number of passion fruits at first the same. LCM of 1 and 3 is 3.
The number of kiwis at first is repeated. Make the number of kiwis at first the same. LCM of 1 and 1 is 1.
Number of fruits at first
= 1 u + 3 u
= 4 u
Number of fruits in the end
= 2 u + 9 u
= 11 u
Number of fruits added
= 11 u - 4 u
= 7 u
7 u = 133
1 u = 133 ÷ 7 = 19
Number of fruits in the end
= 11 u
= 11 x 19
= 209
Answer(s): 209