There was an equal number of kiwis and grapefruits. On Wednesday, some kiwis were added, such that the number of kiwis increased by 80%. On Thursday, the number of kiwis further increased by 50% and the number of grapefruits decreased by 10%. There were 162 more kiwis than grapefruits in the end. How many kiwis and grapefruits were there altogether at first?
|
Kiwis |
Grapefruits |
Before |
1 u |
1 u |
Change 1 |
+ 0.8 u |
No change |
After 1 |
1.8 u |
1 u |
Change 2 |
+ 0.9 u |
- 0.1 u |
After 2 |
2.7 u |
0.9 u |
Number of kiwis added on Wednesday
= 80% x 1 u
=
80100 x 1 u
= 0.8 u
Number of kiwis increased on Thursday
= 50% x 1.8 u
=
50100 x 1.8 u
= 0.9 u
Number of grapefruits decreased on Thursday
= 10% x 1 u
=
10100 x 1 u
= 0.1 u
Number of more kiwis than grapefruits in the end
= 2.7 u - 0.9 u
= 1.8 u
1.8 u = 162
1 u = 162 ÷ 1.8 = 90
Total number of kiwis and grapefruits at first
= 1 u + 1 u
= 2 u
= 2 x 90
= 180
Answer(s): 180