Justin had starfruits and passion fruits. The ratio of starfruits to passion fruits was 6 : 5. After
12 of the starfruits and 20 passion fruits were sold, there were 3 times as many starfruits as passion fruits left. How many starfruits and passion fruits were there at first?
| |
Starfruits |
Passion Fruits |
Comparing starfruits
and passion fruits at first |
6x1 =
6 u |
5x1 =
5 u |
| Before |
2x3 =
6 u |
|
| Change |
- 1x3 =
- 3 u |
- 20 |
| After |
1x3 =
3 u |
|
Comparing starfruits
and passion fruits in the end |
3 u |
1 u |
The number of starfruits at first is repeated. Make the number of starfruits at first the same. LCM of 6 and 2 is 6.
Number of passion fruits sold
= 5 u - 1 u
= 4 u
4 u = 20
1 u = 20 ÷ 4 = 5
Number of starfruits and passion fruits at first
= 6 u + 5 u
= 11 u
= 11 x 5
= 55
Answer(s): 55
