A grocer had the same number of guavas, persimmons and mangosteens at first. After 138 mangosteens, some guavas and persimmons were thrown away, there were 173 fruits left. There were four times as many guavas as persimmons left. The number of mangosteens left was 16 less than the number of guavas. How many persimmons were thrown away?
| |
Guavas |
Persimmons |
Mangosteens |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 138 |
|
| After |
4 u |
1 u |
4 u - 16 |
173 |
Total number of fruits in the end
= 4 u + 1 u + 4 u - 16
= 9 u - 16
9 u - 16 = 173
9 u = 173 + 16
9 u = 189
1 u = 189 ÷ 9 = 21
Number of mangosteens at first
= 4 u - 16 + 138
= 4 x 21 - 16 + 138
= 84 - 16 + 138
= 206
The number of persimmons and mangosteens at first was the same.
Number of persimmons thrown away
= 206 - 1 u
= 206 - 21
= 185
Answer(s): 185
