There was an equal number of mangoes and pomegranates. On Monday, some mangoes were added, such that the number of mangoes increased by 60%. On Tuesday, the number of mangoes further increased by 50% and the number of pomegranates decreased by 20%. There were 64 more mangoes than pomegranates in the end. How many mangoes and pomegranates were there altogether at first?
|
Mangoes |
Pomegranates |
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 mangoes added on Monday
= 60% x 1 u
=
60100 x 1 u
= 0.6 u
Number of mangoes increased on Tuesday
= 50% x 1.6 u
=
50100 x 1.6 u
= 0.8 u
Number of pomegranates decreased on Tuesday
= 20% x 1 u
=
20100 x 1 u
= 0.2 u
Number of more mangoes than pomegranates in the end
= 2.4 u - 0.8 u
= 1.6 u
1.6 u = 64
1 u = 64 ÷ 1.6 = 40
Total number of mangoes and pomegranates at first
= 1 u + 1 u
= 2 u
= 2 x 40
= 80
Answer(s): 80