PSLEA grocer had an equal number of peaches, passion fruits and pears at first. After 67 pears, some peaches and passion fruits were sold, there were 140 fruits left. There were 4 times as many peaches as passion fruits left. The number of pears left was 22 fewer than the number of peaches left. How many passion fruits were sold?
|
Peaches |
Passion Fruits |
Pears |
Total |
Before |
1 |
1 |
1 |
|
Change |
- ? |
- ? |
- 67 |
|
After |
4 u |
1 u |
4 u - 22 |
140 |
Total number of fruits in the end
= 4 u + 1 u + 4 u - 22
= 9 u - 22
9 u - 22 = 140
9 u = 140 + 22
9 u = 162
1 u = 162 ÷ 9 = 18
Number of pears at first
= 4 u - 22 + 67
= 4 x 18 + 45
= 117
The number of pears and passion fruits at first is the same.
Number of passion fruits sold
= 117 - 18
= 99
Answer(s): 99