Ian had dragonfruits and persimmons. The ratio of dragonfruits to persimmons was 9 : 5. After
12 of the dragonfruits and 90 persimmons were sold, there were 9 times as many dragonfruits as persimmons left. How many dragonfruits and persimmons were sold?
|
Dragonfruits |
Persimmons |
Comparing dragonfruits and persimmons at first |
9x2 = 18 u |
5x2 = 10 u |
Before |
2x9 = 18 u |
|
Change |
- 1x9 = - 9 u |
- 90 |
After |
1x9 = 9 u |
|
Comparing dragonfruits and persimmons in the end |
9 u |
1 u |
The number of dragonfruits at first is repeated. Make the number of dragonfruits at first the same. LCM of 9 and 2 is 18.
Number of persimmons sold
= 10 u - 1 u
= 9 u
9 u = 90
1 u = 90 ÷ 9 = 10
Number of dragonfruits and persimmons sold
= 9 u + 90
= 9 x 10 + 90
= 90 + 90
= 180
Answer(s): 180