A stallholder had the same number of starfruits, lemons and pears at first. After 53 pears, some starfruits and lemons were removed, there were 113 fruits left. There were four times as many starfruits as lemons left. The number of pears left was 22 fewer than the number of starfruits. How many lemons were removed?
| |
Starfruits |
Lemons |
Pears |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 53 |
|
| After |
4 u |
1 u |
4 u - 22 |
113 |
Total number of fruits in the end
= 4 u + 1 u + 4 u - 22
= 9 u - 22
9 u - 22 = 113
9 u = 113 + 22
9 u = 135
1 u = 135 ÷ 9 = 15
Number of pears at first
= 4 u - 22 + 53
= 4 x 15 - 22 + 53
= 60 - 22 + 53
= 91
The number of lemons and pears at first was the same.
Number of lemons removed
= 91 - 1 u
= 91 - 15
= 76
Answer(s): 76
