Reggie had dragonfruits and mangosteens. The ratio of dragonfruits to mangosteens was 3 : 2. After
45 of the dragonfruits and 81 mangosteens were sold, there were 3 times as many dragonfruits as mangosteens left. How many dragonfruits and mangosteens were sold?
| |
Dragonfruits |
Mangosteens |
Comparing dragonfruits
and mangosteens at first |
3x5 =
15 u |
2x5 =
10 u |
| Before |
5x3 =
15 u |
|
| Change |
- 4x3 =
- 12 u |
- 81 |
| After |
1x3 =
3 u |
|
Comparing dragonfruits
and mangosteens in the end |
3 u |
1 u |
The number of dragonfruits at first is repeated. Make the number of dragonfruits at first the same. LCM of 3 and 5 is 15.
Number of mangosteens sold
= 10 u - 1 u
= 9 u
9 u = 81
1 u = 81 ÷ 9 = 9
Number of dragonfruits and mangosteens sold
= 12 u + 81
= 12 x 9 + 81
= 108 + 81
= 189
Answer(s): 189
