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