A store owner had the same number of mangoes, lemons and persimmons at first. After 39 persimmons, some mangoes and lemons were taken out, there were 199 fruits left. There were four times as many mangoes as lemons left. The number of persimmons left was 26 fewer than the number of mangoes. How many lemons were taken out?
| |
Mangoes |
Lemons |
Persimmons |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 39 |
|
| After |
4 u |
1 u |
4 u - 26 |
199 |
Total number of fruits in the end
= 4 u + 1 u + 4 u - 26
= 9 u - 26
9 u - 26 = 199
9 u = 199 + 26
9 u = 225
1 u = 225 ÷ 9 = 25
Number of persimmons at first
= 4 u - 26 + 39
= 4 x 25 - 26 + 39
= 100 - 26 + 39
= 113
The number of lemons and persimmons at first was the same.
Number of lemons taken out
= 113 - 1 u
= 113 - 25
= 88
Answer(s): 88
