There was an equal number of kiwis and mangoes. On Friday, some kiwis were added, such that the number of kiwis increased by 60%. On Saturday, the number of kiwis further increased by 50% and the number of mangoes decreased by 20%. There were 32 more kiwis than mangoes in the end. How many kiwis and mangoes were there altogether at first?
|
Kiwis |
Mangoes |
Before |
1 u |
1 u |
Change 1 |
+ 0.6 u |
No change |
After 1 |
1.6 u |
1 u |
Change 2 |
+ 0.8 u |
- 0.2 u |
After 2 |
2.4 u |
0.8 u |
Number of kiwis added on Friday
= 60% x 1 u
=
60100 x 1 u
= 0.6 u
Number of kiwis increased on Saturday
= 50% x 1.6 u
=
50100 x 1.6 u
= 0.8 u
Number of mangoes decreased on Saturday
= 20% x 1 u
=
20100 x 1 u
= 0.2 u
Number of more kiwis than mangoes in the end
= 2.4 u - 0.8 u
= 1.6 u
1.6 u = 32
1 u = 32 ÷ 1.6 = 20
Total number of kiwis and mangoes at first
= 1 u + 1 u
= 2 u
= 2 x 20
= 40
Answer(s): 40