A fruit seller sells only persimmons and lemons. The ratio of persimmons to lemons is 1 : 3. A total of 176 fruits are added. The number of persimmons becomes 3 times as many as before and the number of lemons becomes 4 times as many as before. How many fruits are there in the end?
|
Comparing persimmons at first and in the end |
Persimmons |
Lemons |
Comparing lemons at first and in the end |
Before |
1x1 = 1 u |
1 u |
3 u |
1x3 = 3 u |
Change |
|
+ 176 |
|
After |
3x1 = 3 u |
3 u |
12 u |
4x3 = 12 u |
The number of lemons at first is repeated. Make the number of lemons at first the same. LCM of 1 and 3 is 3.
The number of persimmons at first is repeated. Make the number of persimmons 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 + 12 u
= 15 u
Number of fruits added
= 15 u - 4 u
= 11 u
11 u = 176
1 u = 176 ÷ 11 = 16
Number of fruits in the end
= 15 u
= 15 x 16
= 240
Answer(s): 240