A fruit seller had the same number of persimmons, grapefruits and mangosteens at first. After 105 mangosteens, some persimmons and grapefruits were sold, there were 103 fruits left. There were four times as many persimmons as grapefruits left. The number of mangosteens left was 14 less than the number of persimmons. How many grapefruits were sold?
| |
Persimmons |
Grapefruits |
Mangosteens |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 105 |
|
| After |
4 u |
1 u |
4 u - 14 |
103 |
Total number of fruits in the end
= 4 u + 1 u + 4 u - 14
= 9 u - 14
9 u - 14 = 103
9 u = 103 + 14
9 u = 117
1 u = 117 ÷ 9 = 13
Number of mangosteens at first
= 4 u - 14 + 105
= 4 x 13 - 14 + 105
= 52 - 14 + 105
= 143
The number of grapefruits and mangosteens at first was the same.
Number of grapefruits sold
= 143 - 1 u
= 143 - 13
= 130
Answer(s): 130
