A stallholder had the same number of persimmons, pomegranates and mangoes at first. After 139 mangoes, some persimmons and pomegranates were taken out, there were 142 fruits left. There were four times as many persimmons as pomegranates left. The number of mangoes left was 20 less than the number of persimmons. How many pomegranates were taken out?
| |
Persimmons |
Pomegranates |
Mangoes |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 139 |
|
| After |
4 u |
1 u |
4 u - 20 |
142 |
Total number of fruits in the end
= 4 u + 1 u + 4 u - 20
= 9 u - 20
9 u - 20 = 142
9 u = 142 + 20
9 u = 162
1 u = 162 ÷ 9 = 18
Number of mangoes at first
= 4 u - 20 + 139
= 4 x 18 - 20 + 139
= 72 - 20 + 139
= 191
The number of pomegranates and mangoes at first was the same.
Number of pomegranates taken out
= 191 - 1 u
= 191 - 18
= 173
Answer(s): 173
