Oscar had dragonfruits and passion fruits. The ratio of dragonfruits to passion fruits was 5 : 4. After
12 of the dragonfruits and 35 passion fruits were sold, there were 5 times as many dragonfruits as passion fruits left. How many dragonfruits and passion fruits were there at first?
| |
Dragonfruits |
Passion Fruits |
Comparing dragonfruits
and passion fruits at first |
5x2 =
10 u |
4x2 =
8 u |
| Before |
2x5 =
10 u |
|
| Change |
- 1x5 =
- 5 u |
- 35 |
| After |
1x5 =
5 u |
|
Comparing dragonfruits
and passion fruits 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 passion fruits sold
= 8 u - 1 u
= 7 u
7 u = 35
1 u = 35 ÷ 7 = 5
Number of dragonfruits and passion fruits at first
= 10 u + 8 u
= 18 u
= 18 x 5
= 90
Answer(s): 90
