There was an equal number of peaches and starfruits. On Tuesday, some peaches were added, such that the number of peaches increased by 60%. On Wednesday, the number of peaches further increased by 50% and the number of starfruits decreased by 10%. There were 15 more peaches than starfruits in the end. How many peaches and starfruits were there altogether at first?
|
Peaches |
Starfruits |
Before |
1 u |
1 u |
Change 1 |
+ 0.6 u |
No change |
After 1 |
1.6 u |
1 u |
Change 2 |
+ 0.8 u |
- 0.1 u |
After 2 |
2.4 u |
0.9 u |
Number of peaches added on Tuesday
= 60% x 1 u
=
60100 x 1 u
= 0.6 u
Number of peaches increased on Wednesday
= 50% x 1.6 u
=
50100 x 1.6 u
= 0.8 u
Number of starfruits decreased on Wednesday
= 10% x 1 u
=
10100 x 1 u
= 0.1 u
Number of more peaches than starfruits in the end
= 2.4 u - 0.9 u
= 1.5 u
1.5 u = 15
1 u = 15 ÷ 1.5 = 10
Total number of peaches and starfruits at first
= 1 u + 1 u
= 2 u
= 2 x 10
= 20
Answer(s): 20