A stallholder had the same number of peaches, starfruits and grapefruits at first. After 74 grapefruits, some peaches and starfruits were sold, there were 145 fruits left. There were twice 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 |
- ? |
- ? |
- 74 |
|
| After |
2 u |
1 u |
2 u - 30 |
145 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 30
= 5 u - 30
5 u - 30 = 145
5 u = 145 + 30
5 u = 175
1 u = 175 ÷ 5 = 35
Number of grapefruits at first
= 2 u - 30 + 74
= 2 x 35 - 30 + 74
= 70 - 30 + 74
= 114
The number of starfruits and grapefruits at first was the same.
Number of starfruits sold
= 114 - 1 u
= 114 - 35
= 79
Answer(s): 79
