There was an equal number of grapefruits and lemons. On Monday, some grapefruits were added, such that the number of grapefruits increased by 60%. On Tuesday, the number of grapefruits further increased by 50% and the number of lemons decreased by 10%. There were 120 more grapefruits than lemons in the end. How many grapefruits and lemons were there altogether at first?
|
Grapefruits |
Lemons |
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 grapefruits added on Monday
= 60% x 1 u
=
60100 x 1 u
= 0.6 u
Number of grapefruits increased on Tuesday
= 50% x 1.6 u
=
50100 x 1.6 u
= 0.8 u
Number of lemons decreased on Tuesday
= 10% x 1 u
=
10100 x 1 u
= 0.1 u
Number of more grapefruits than lemons in the end
= 2.4 u - 0.9 u
= 1.5 u
1.5 u = 120
1 u = 120 ÷ 1.5 = 80
Total number of grapefruits and lemons at first
= 1 u + 1 u
= 2 u
= 2 x 80
= 160
Answer(s): 160