PSLEA stallholder had an equal number of pomegranates, persimmons and mangoes at first. After 77 mangoes, some pomegranates and persimmons were sold, there were 176 fruits left. There were 3 times as many pomegranates as persimmons left. The number of mangoes left was 20 less than the number of pomegranates left. How many persimmons were sold?
|
Pomegranates |
Persimmons |
Mangoes |
Total |
Before |
1 |
1 |
1 |
|
Change |
- ? |
- ? |
- 77 |
|
After |
3 u |
1 u |
3 u - 20 |
176 |
Total number of fruits in the end
= 3 u + 1 u + 3 u - 20
= 7 u - 20
7 u - 20 = 176
7 u = 176 + 20
7 u = 196
1 u = 196 ÷ 7 = 28
Number of mangoes at first
= 3 u - 20 + 77
= 3 x 28 + 57
= 141
The number of mangoes and persimmons at first is the same.
Number of persimmons sold
= 141 - 28
= 113
Answer(s): 113