Cody had dragonfruits and persimmons. The ratio of dragonfruits to persimmons was 9 : 2. After
12 of the dragonfruits and 9 persimmons were sold, there were 9 times as many dragonfruits as persimmons left. How many dragonfruits and persimmons were there at first?
| |
Dragonfruits |
Persimmons |
Comparing dragonfruits
and persimmons at first |
9x2 =
18 u |
2x2 =
4 u |
| Before |
2x9 =
18 u |
|
| Change |
- 1x9 =
- 9 u |
- 9 |
| 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
= 4 u - 1 u
= 3 u
3 u = 9
1 u = 9 ÷ 3 = 3
Number of dragonfruits and persimmons at first
= 18 u + 4 u
= 22 u
= 22 x 3
= 66
Answer(s): 66
