John had dragonfruits and persimmons. The ratio of dragonfruits to persimmons was 5 : 2. After
34 of the dragonfruits and 21 persimmons were sold, there were 5 times as many dragonfruits as persimmons left. How many dragonfruits and persimmons were sold?
| |
Dragonfruits |
Persimmons |
Comparing dragonfruits
and persimmons at first |
5x4 =
20 u |
2x4 =
8 u |
| Before |
4x5 =
20 u |
|
| Change |
- 3x5 =
- 15 u |
- 21 |
| After |
1x5 =
5 u |
|
Comparing dragonfruits
and persimmons 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 4 is 20.
Number of persimmons sold
= 8 u - 1 u
= 7 u
7 u = 21
1 u = 21 ÷ 7 = 3
Number of dragonfruits and persimmons sold
= 15 u + 21
= 15 x 3 + 21
= 45 + 21
= 66
Answer(s): 66
