There was an equal number of lemons and passion fruits. On Saturday, some lemons were added, such that the number of lemons increased by 60%. On Sunday, the number of lemons further increased by 50% and the number of passion fruits decreased by 30%. There were 68 more lemons than passion fruits in the end. How many lemons and passion fruits were there altogether at first?
|
Lemons |
Passion Fruits |
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 lemons added on Saturday
= 60% x 1 u
=
60100 x 1 u
= 0.6 u
Number of lemons increased on Sunday
= 50% x 1.6 u
=
50100 x 1.6 u
= 0.8 u
Number of passion fruits decreased on Sunday
= 30% x 1 u
=
30100 x 1 u
= 0.3 u
Number of more lemons than passion fruits in the end
= 2.4 u - 0.7 u
= 1.7 u
1.7 u = 68
1 u = 68 ÷ 1.7 = 40
Total number of lemons and passion fruits at first
= 1 u + 1 u
= 2 u
= 2 x 40
= 80
Answer(s): 80