A grocer had the same number of peaches, starfruits and grapefruits at first. After 45 grapefruits, some peaches and starfruits were sold, there were 132 fruits left. There were four times as many peaches as starfruits left. The number of grapefruits left was 30 fewer than the number of peaches. How many starfruits were sold?
| |
Peaches |
Starfruits |
Grapefruits |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 45 |
|
| After |
4 u |
1 u |
4 u - 30 |
132 |
Total number of fruits in the end
= 4 u + 1 u + 4 u - 30
= 9 u - 30
9 u - 30 = 132
9 u = 132 + 30
9 u = 162
1 u = 162 ÷ 9 = 18
Number of grapefruits at first
= 4 u - 30 + 45
= 4 x 18 - 30 + 45
= 72 - 30 + 45
= 87
The number of starfruits and grapefruits at first was the same.
Number of starfruits sold
= 87 - 1 u
= 87 - 18
= 69
Answer(s): 69
