A grocer had the same number of passion fruits, persimmons and peaches at first. After 132 peaches, some passion fruits and persimmons were used, there were 122 fruits left. There were thrice as many passion fruits as persimmons left. The number of peaches left was 18 less than the number of passion fruits. How many persimmons were used?
| |
Passion Fruits |
Persimmons |
Peaches |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 132 |
|
| After |
3 u |
1 u |
3 u - 18 |
122 |
Total number of fruits in the end
= 3 u + 1 u + 3 u - 18
= 7 u - 18
7 u - 18 = 122
7 u = 122 + 18
7 u = 140
1 u = 140 ÷ 7 = 20
Number of peaches at first
= 3 u - 18 + 132
= 3 x 20 - 18 + 132
= 60 - 18 + 132
= 174
The number of persimmons and peaches at first was the same.
Number of persimmons used
= 174 - 1 u
= 174 - 20
= 154
Answer(s): 154
