There was an equal number of guavas and persimmons. On Tuesday, some guavas were added, such that the number of guavas increased by 80%. On Wednesday, the number of guavas further increased by 50% and the number of persimmons decreased by 10%. There were 108 more guavas than persimmons in the end. How many guavas and persimmons were there altogether at first?
|
Guavas |
Persimmons |
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 guavas added on Tuesday
= 80% x 1 u
=
80100 x 1 u
= 0.8 u
Number of guavas increased on Wednesday
= 50% x 1.8 u
=
50100 x 1.8 u
= 0.9 u
Number of persimmons decreased on Wednesday
= 10% x 1 u
=
10100 x 1 u
= 0.1 u
Number of more guavas than persimmons in the end
= 2.7 u - 0.9 u
= 1.8 u
1.8 u = 108
1 u = 108 ÷ 1.8 = 60
Total number of guavas and persimmons at first
= 1 u + 1 u
= 2 u
= 2 x 60
= 120
Answer(s): 120