Paul had dragonfruits and pears. The ratio of dragonfruits to pears was 5 : 3. After
12 of the dragonfruits and 10 pears were sold, there were 5 times as many dragonfruits as pears left. How many dragonfruits and pears were there at first?
| |
Dragonfruits |
Pears |
Comparing dragonfruits
and pears at first |
5x2 =
10 u |
3x2 =
6 u |
| Before |
2x5 =
10 u |
|
| Change |
- 1x5 =
- 5 u |
- 10 |
| After |
1x5 =
5 u |
|
Comparing dragonfruits
and pears 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 2 is 10.
Number of pears sold
= 6 u - 1 u
= 5 u
5 u = 10
1 u = 10 ÷ 5 = 2
Number of dragonfruits and pears at first
= 10 u + 6 u
= 16 u
= 16 x 2
= 32
Answer(s): 32
