There was an equal number of mangoes and persimmons. On Tuesday, some mangoes were added, such that the number of mangoes increased by 60%. On Wednesday, the number of mangoes further increased by 50% and the number of persimmons decreased by 30%. There were 136 more mangoes than persimmons in the end. How many mangoes and persimmons were there altogether at first?
|
Mangoes |
Persimmons |
Before |
1 u |
1 u |
Change 1 |
+ 0.6 u |
No change |
After 1 |
1.6 u |
1 u |
Change 2 |
+ 0.8 u |
- 0.3 u |
After 2 |
2.4 u |
0.7 u |
Number of mangoes added on Tuesday
= 60% x 1 u
=
60100 x 1 u
= 0.6 u
Number of mangoes increased on Wednesday
= 50% x 1.6 u
=
50100 x 1.6 u
= 0.8 u
Number of persimmons decreased on Wednesday
= 30% x 1 u
=
30100 x 1 u
= 0.3 u
Number of more mangoes than persimmons in the end
= 2.4 u - 0.7 u
= 1.7 u
1.7 u = 136
1 u = 136 ÷ 1.7 = 80
Total number of mangoes and persimmons at first
= 1 u + 1 u
= 2 u
= 2 x 80
= 160
Answer(s): 160