There was an equal number of pears and pomegranates. On Tuesday, some pears were added, such that the number of pears increased by 80%. On Wednesday, the number of pears further increased by 50% and the number of pomegranates decreased by 30%. There were 180 more pears than pomegranates in the end. How many pears and pomegranates were there altogether at first?
|
Pears |
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 |
- 0.3 u |
After 2 |
2.7 u |
0.7 u |
Number of pears added on Tuesday
= 80% x 1 u
=
80100 x 1 u
= 0.8 u
Number of pears increased on Wednesday
= 50% x 1.8 u
=
50100 x 1.8 u
= 0.9 u
Number of pomegranates decreased on Wednesday
= 30% x 1 u
=
30100 x 1 u
= 0.3 u
Number of more pears than pomegranates in the end
= 2.7 u - 0.7 u
= 2 u
2 u = 180
1 u = 180 ÷ 2 = 90
Total number of pears and pomegranates at first
= 1 u + 1 u
= 2 u
= 2 x 90
= 180
Answer(s): 180