A fruit seller sells only kiwis and guavas. The ratio of kiwis to guavas is 1 : 3. A total of 32 fruits are added. The number of kiwis becomes 3 times as many as before and the number of guavas becomes 3 times as many as before. How many fruits are there in the end?
|
Comparing kiwis at first and in the end |
Kiwis |
Guavas |
Comparing guavas at first and in the end |
Before |
1x1 = 1 u |
1 u |
3 u |
1x3 = 3 u |
Change |
|
+ 32 |
|
After |
3x1 = 3 u |
3 u |
9 u |
3x3 = 9 u |
The number of guavas at first is repeated. Make the number of guavas 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
= 3 u + 9 u
= 12 u
Number of fruits added
= 12 u - 4 u
= 8 u
8 u = 32
1 u = 32 ÷ 8 = 4
Number of fruits in the end
= 12 u
= 12 x 4
= 48
Answer(s): 48