A fruit seller sells only guavas and dragonfruits. The ratio of guavas to dragonfruits is 2 : 3. A total of 119 fruits are added. The number of guavas becomes 3 times as many as before and the number of dragonfruits becomes 2 times as many as before. How many fruits are there at first?
| |
Comparing guavas
at first and
in the end |
Guavas |
Dragonfruits |
Comparing dragonfruits
at first and
in the end |
| Before |
1x2 =
2 u |
2 u |
3 u |
1x3 =
3 u |
| Change |
|
+ 119 |
|
| After |
3x2 =
6 u |
6 u |
6 u |
2x3 =
6 u |
The number of dragonfruits at first is repeated. Make the number of dragonfruits at first the same. LCM of 1 and 3 is 3.
The number of guavas at first is repeated. Make the number of guavas 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
= 6 u + 6 u
= 12 u
Number of fruits added
= 12 u - 5 u
= 7 u
7 u = 119
1 u = 119 ÷ 7 = 17
Number of fruits at first
= 5 u
= 5 x 17
= 85
Answer(s): 85
