There was an equal number of mangosteens and kiwis. On Wednesday, some mangosteens were added, such that the number of mangosteens increased by 80%. On Thursday, the number of mangosteens further increased by 50% and the number of kiwis decreased by 30%. There were 60 more mangosteens than kiwis in the end. How many mangosteens and kiwis were there altogether at first?
|
Mangosteens |
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 |
- 0.3 u |
After 2 |
2.7 u |
0.7 u |
Number of mangosteens added on Wednesday
= 80% x 1 u
=
80100 x 1 u
= 0.8 u
Number of mangosteens increased on Thursday
= 50% x 1.8 u
=
50100 x 1.8 u
= 0.9 u
Number of kiwis decreased on Thursday
= 30% x 1 u
=
30100 x 1 u
= 0.3 u
Number of more mangosteens than kiwis in the end
= 2.7 u - 0.7 u
= 2 u
2 u = 60
1 u = 60 ÷ 2 = 30
Total number of mangosteens and kiwis at first
= 1 u + 1 u
= 2 u
= 2 x 30
= 60
Answer(s): 60