A grocer had the same number of mangosteens, persimmons and mangoes at first. After 80 mangoes, some mangosteens and persimmons were given away, there were 129 fruits left. There were four times as many mangosteens as persimmons left. The number of mangoes left was 24 less than the number of mangosteens. How many persimmons were given away?
| |
Mangosteens |
Persimmons |
Mangoes |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 80 |
|
| After |
4 u |
1 u |
4 u - 24 |
129 |
Total number of fruits in the end
= 4 u + 1 u + 4 u - 24
= 9 u - 24
9 u - 24 = 129
9 u = 129 + 24
9 u = 153
1 u = 153 ÷ 9 = 17
Number of mangoes at first
= 4 u - 24 + 80
= 4 x 17 - 24 + 80
= 68 - 24 + 80
= 124
The number of persimmons and mangoes at first was the same.
Number of persimmons given away
= 124 - 1 u
= 124 - 17
= 107
Answer(s): 107
