A store owner had the same number of lemons, pears and starfruits at first. After 65 starfruits, some lemons and pears were sold, there were 141 fruits left. There were five times as many lemons as pears left. The number of starfruits left was 24 less than the number of lemons. How many pears were sold?
| |
Lemons |
Pears |
Starfruits |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 65 |
|
| After |
5 u |
1 u |
5 u - 24 |
141 |
Total number of fruits in the end
= 5 u + 1 u + 5 u - 24
= 11 u - 24
11 u - 24 = 141
11 u = 141 + 24
11 u = 165
1 u = 165 ÷ 11 = 15
Number of starfruits at first
= 5 u - 24 + 65
= 5 x 15 - 24 + 65
= 75 - 24 + 65
= 116
The number of pears and starfruits at first was the same.
Number of pears sold
= 116 - 1 u
= 116 - 15
= 101
Answer(s): 101
