A fruit seller sells only lemons and mangosteens. The ratio of lemons to mangosteens is 2 : 3. A total of 180 fruits are added. The number of lemons becomes 4 times as many as before and the number of mangosteens becomes 2 times as many as before. How many fruits are there at first?
| |
Comparing lemons
at first and
in the end |
Lemons |
Mangosteens |
Comparing mangosteens
at first and
in the end |
| Before |
1x2 =
2 u |
2 u |
3 u |
1x3 =
3 u |
| Change |
|
+ 180 |
|
| After |
4x2 =
8 u |
8 u |
6 u |
2x3 =
6 u |
The number of mangosteens at first is repeated. Make the number of mangosteens at first the same. LCM of 1 and 3 is 3.
The number of lemons at first is repeated. Make the number of lemons at first the same. LCM of 1 and 2 is 2.
Number of fruits at first
= 2 u + 3 u
= 5 u
Number of fruits in the end
= 8 u + 6 u
= 14 u
Number of fruits added
= 14 u - 5 u
= 9 u
9 u = 180
1 u = 180 ÷ 9 = 20
Number of fruits at first
= 5 u
= 5 x 20
= 100
Answer(s): 100
