Ivan had dragonfruits and starfruits. The ratio of dragonfruits to starfruits was 5 : 3. After
12 of the dragonfruits and 45 starfruits were sold, there were 5 times as many dragonfruits as starfruits left. How many dragonfruits and starfruits were there at first?
| |
Dragonfruits |
Starfruits |
Comparing dragonfruits
and starfruits at first |
5x2 =
10 u |
3x2 =
6 u |
| Before |
2x5 =
10 u |
|
| Change |
- 1x5 =
- 5 u |
- 45 |
| After |
1x5 =
5 u |
|
Comparing dragonfruits
and starfruits in the end |
5 u |
1 u |
The number of dragonfruits at first is repeated. Make the number of dragonfruits at first the same. LCM of 5 and 2 is 10.
Number of starfruits sold
= 6 u - 1 u
= 5 u
5 u = 45
1 u = 45 ÷ 5 = 9
Number of dragonfruits and starfruits at first
= 10 u + 6 u
= 16 u
= 16 x 9
= 144
Answer(s): 144
