There was an equal number of starfruits and kiwis. On Saturday, some starfruits were added, such that the number of starfruits increased by 80%. On Sunday, the number of starfruits further increased by 50% and the number of kiwis decreased by 20%. There were 171 more starfruits than kiwis in the end. How many starfruits and kiwis were there altogether at first?
|
Starfruits |
Kiwis |
Before |
1 u |
1 u |
Change 1 |
+ 0.8 u |
No change |
After 1 |
1.8 u |
1 u |
Change 2 |
+ 0.9 u |
- 0.2 u |
After 2 |
2.7 u |
0.8 u |
Number of starfruits added on Saturday
= 80% x 1 u
=
80100 x 1 u
= 0.8 u
Number of starfruits increased on Sunday
= 50% x 1.8 u
=
50100 x 1.8 u
= 0.9 u
Number of kiwis decreased on Sunday
= 20% x 1 u
=
20100 x 1 u
= 0.2 u
Number of more starfruits than kiwis in the end
= 2.7 u - 0.8 u
= 1.9 u
1.9 u = 171
1 u = 171 ÷ 1.9 = 90
Total number of starfruits and kiwis at first
= 1 u + 1 u
= 2 u
= 2 x 90
= 180
Answer(s): 180