There was an equal number of mangosteens and pomegranates. On Friday, some mangosteens were added, such that the number of mangosteens increased by 80%. On Saturday, the number of mangosteens further increased by 50% and the number of pomegranates decreased by 10%. There were 126 more mangosteens than pomegranates in the end. How many mangosteens and pomegranates were there altogether at first?
|
Mangosteens |
Pomegranates |
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 mangosteens added on Friday
= 80% x 1 u
=
80100 x 1 u
= 0.8 u
Number of mangosteens increased on Saturday
= 50% x 1.8 u
=
50100 x 1.8 u
= 0.9 u
Number of pomegranates decreased on Saturday
= 10% x 1 u
=
10100 x 1 u
= 0.1 u
Number of more mangosteens than pomegranates in the end
= 2.7 u - 0.9 u
= 1.8 u
1.8 u = 126
1 u = 126 ÷ 1.8 = 70
Total number of mangosteens and pomegranates at first
= 1 u + 1 u
= 2 u
= 2 x 70
= 140
Answer(s): 140