A grocer had the same number of pears, lemons and starfruits at first. After 39 starfruits, some pears and lemons were used, there were 191 fruits left. There were twice as many pears as lemons left. The number of starfruits left was 24 fewer than the number of pears. How many lemons were used?
|
Pears |
Lemons |
Starfruits |
Total |
Before |
1 |
1 |
1 |
|
Change |
- ? |
- ? |
- 39 |
|
After |
2 u |
1 u |
2 u - 24 |
191 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 24
= 5 u - 24
5 u - 24 = 191
5 u = 191 + 24
5 u = 215
1 u = 215 ÷ 5 = 43
Number of starfruits at first
= 2 u - 24 + 39
= 2 x 43 - 24 + 39
= 86 - 24 + 39
= 101
The number of lemons and starfruits at first was the same.
Number of lemons used
= 101 - 1 u
= 101 - 43
= 58
Answer(s): 58