A fruit seller sells only guavas and kiwis. The ratio of guavas to kiwis is 3 : 4. A total of 143 fruits are added. The number of guavas becomes 2 times as many as before and the number of kiwis becomes 3 times as many as before. How many fruits are there in the end?
|
Comparing guavas at first and in the end |
Guavas |
Kiwis |
Comparing kiwis at first and in the end |
Before |
1x3 = 3 u |
3 u |
4 u |
1x4 = 4 u |
Change |
|
+ 143 |
|
After |
2x3 = 6 u |
6 u |
12 u |
3x4 = 12 u |
The number of kiwis at first is repeated. Make the number of kiwis at first the same. LCM of 1 and 4 is 4.
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 + 4 u
= 7 u
Number of fruits in the end
= 6 u + 12 u
= 18 u
Number of fruits added
= 18 u - 7 u
= 11 u
11 u = 143
1 u = 143 ÷ 11 = 13
Number of fruits in the end
= 18 u
= 18 x 13
= 234
Answer(s): 234