There was an equal number of dragonfruits and mangosteens. On Tuesday, some dragonfruits were added, such that the number of dragonfruits increased by 80%. On Wednesday, the number of dragonfruits further increased by 50% and the number of mangosteens decreased by 30%. There were 80 more dragonfruits than mangosteens in the end. How many dragonfruits and mangosteens were there altogether at first?
|
Dragonfruits |
Mangosteens |
Before |
1 u |
1 u |
Change 1 |
+ 0.8 u |
No change |
After 1 |
1.8 u |
1 u |
Change 2 |
+ 0.9 u |
- 0.3 u |
After 2 |
2.7 u |
0.7 u |
Number of dragonfruits added on Tuesday
= 80% x 1 u
=
80100 x 1 u
= 0.8 u
Number of dragonfruits increased on Wednesday
= 50% x 1.8 u
=
50100 x 1.8 u
= 0.9 u
Number of mangosteens decreased on Wednesday
= 30% x 1 u
=
30100 x 1 u
= 0.3 u
Number of more dragonfruits than mangosteens in the end
= 2.7 u - 0.7 u
= 2 u
2 u = 80
1 u = 80 ÷ 2 = 40
Total number of dragonfruits and mangosteens at first
= 1 u + 1 u
= 2 u
= 2 x 40
= 80
Answer(s): 80