There was an equal number of peaches and lemons. On Tuesday, some peaches were added, such that the number of peaches increased by 80%. On Wednesday, the number of peaches further increased by 50% and the number of lemons decreased by 10%. There were 144 more peaches than lemons in the end. How many peaches and lemons were there altogether at first?
|
Peaches |
Lemons |
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 peaches added on Tuesday
= 80% x 1 u
=
80100 x 1 u
= 0.8 u
Number of peaches increased on Wednesday
= 50% x 1.8 u
=
50100 x 1.8 u
= 0.9 u
Number of lemons decreased on Wednesday
= 10% x 1 u
=
10100 x 1 u
= 0.1 u
Number of more peaches than lemons in the end
= 2.7 u - 0.9 u
= 1.8 u
1.8 u = 144
1 u = 144 ÷ 1.8 = 80
Total number of peaches and lemons at first
= 1 u + 1 u
= 2 u
= 2 x 80
= 160
Answer(s): 160