There was an equal number of mangosteens and chikoos. On Saturday, some mangosteens were added, such that the number of mangosteens increased by 60%. On Sunday, the number of mangosteens further increased by 50% and the number of chikoos decreased by 10%. There were 150 more mangosteens than chikoos in the end. How many mangosteens and chikoos were there altogether at first?
|
Mangosteens |
Chikoos |
Before |
1 u |
1 u |
Change 1 |
+ 0.6 u |
No change |
After 1 |
1.6 u |
1 u |
Change 2 |
+ 0.8 u |
- 0.1 u |
After 2 |
2.4 u |
0.9 u |
Number of mangosteens added on Saturday
= 60% x 1 u
=
60100 x 1 u
= 0.6 u
Number of mangosteens increased on Sunday
= 50% x 1.6 u
=
50100 x 1.6 u
= 0.8 u
Number of chikoos decreased on Sunday
= 10% x 1 u
=
10100 x 1 u
= 0.1 u
Number of more mangosteens than chikoos in the end
= 2.4 u - 0.9 u
= 1.5 u
1.5 u = 150
1 u = 150 ÷ 1.5 = 100
Total number of mangosteens and chikoos at first
= 1 u + 1 u
= 2 u
= 2 x 100
= 200
Answer(s): 200