There was an equal number of lemons and pears. On Saturday, some lemons were added, such that the number of lemons increased by 80%. On Sunday, the number of lemons further increased by 50% and the number of pears decreased by 10%. There were 18 more lemons than pears in the end. How many lemons and pears were there altogether at first?
|
Lemons |
Pears |
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 lemons added on Saturday
= 80% x 1 u
=
80100 x 1 u
= 0.8 u
Number of lemons increased on Sunday
= 50% x 1.8 u
=
50100 x 1.8 u
= 0.9 u
Number of pears decreased on Sunday
= 10% x 1 u
=
10100 x 1 u
= 0.1 u
Number of more lemons than pears in the end
= 2.7 u - 0.9 u
= 1.8 u
1.8 u = 18
1 u = 18 ÷ 1.8 = 10
Total number of lemons and pears at first
= 1 u + 1 u
= 2 u
= 2 x 10
= 20
Answer(s): 20