A grocer had the same number of starfruits, lemons and grapefruits at first. After 71 grapefruits, some starfruits and lemons were removed, there were 141 fruits left. There were twice as many starfruits as lemons left. The number of grapefruits left was 29 less than the number of starfruits. How many lemons were removed?
| |
Starfruits |
Lemons |
Grapefruits |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 71 |
|
| After |
2 u |
1 u |
2 u - 29 |
141 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 29
= 5 u - 29
5 u - 29 = 141
5 u = 141 + 29
5 u = 170
1 u = 170 ÷ 5 = 34
Number of grapefruits at first
= 2 u - 29 + 71
= 2 x 34 - 29 + 71
= 68 - 29 + 71
= 110
The number of lemons and grapefruits at first was the same.
Number of lemons removed
= 110 - 1 u
= 110 - 34
= 76
Answer(s): 76
