Reggie had dragonfruits and lemons. The ratio of dragonfruits to lemons was 9 : 4. After
34 of the dragonfruits and 30 lemons were sold, there were 9 times as many dragonfruits as lemons left. How many dragonfruits and lemons were there at first?
| |
Dragonfruits |
Lemons |
Comparing dragonfruits
and lemons at first |
9x4 =
36 u |
4x4 =
16 u |
| Before |
4x9 =
36 u |
|
| Change |
- 3x9 =
- 27 u |
- 30 |
| After |
1x9 =
9 u |
|
Comparing dragonfruits
and lemons 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 4 is 36.
Number of lemons sold
= 16 u - 1 u
= 15 u
15 u = 30
1 u = 30 ÷ 15 = 2
Number of dragonfruits and lemons at first
= 36 u + 16 u
= 52 u
= 52 x 2
= 104
Answer(s): 104
