A store owner had the same number of starfruits, lemons and pears at first. After 149 pears, some starfruits and lemons were removed, there were 187 fruits left. There were thrice as many starfruits as lemons left. The number of pears left was 30 fewer than the number of starfruits. How many lemons were removed?
| |
Starfruits |
Lemons |
Pears |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 149 |
|
| After |
3 u |
1 u |
3 u - 30 |
187 |
Total number of fruits in the end
= 3 u + 1 u + 3 u - 30
= 7 u - 30
7 u - 30 = 187
7 u = 187 + 30
7 u = 217
1 u = 217 ÷ 7 = 31
Number of pears at first
= 3 u - 30 + 149
= 3 x 31 - 30 + 149
= 93 - 30 + 149
= 212
The number of lemons and pears at first was the same.
Number of lemons removed
= 212 - 1 u
= 212 - 31
= 181
Answer(s): 181
