PSLEA grocer had the same number of peaches, grapefruits and starfruits at first. After 46 starfruits, some peaches and grapefruits were sold, there were 114 fruits left. There were 2 times as many peaches as grapefruits left. The number of starfruits left was 31 less than the number of peaches left. How many grapefruits were sold?
|
Peaches |
Grapefruits |
Starfruits |
Total |
Before |
1 |
1 |
1 |
|
Change |
- ? |
- ? |
- 46 |
|
After |
2 u |
1 u |
2 u - 31 |
114 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 31
= 5 u - 31
5 u - 31 = 114
5 u = 114 + 31
5 u = 145
1 u = 145 ÷ 5 = 29
Number of starfruits at first
= 2 u - 31 + 46
= 2 x 29 + 15
= 73
The number of starfruits and grapefruits at first is the same.
Number of grapefruits sold
= 73 - 29
= 44
Answer(s): 44