A stallholder had the same number of peaches, starfruits and grapefruits at first. After 44 grapefruits, some peaches and starfruits were thrown away, there were 166 fruits left. There were thrice as many peaches as starfruits left. The number of grapefruits left was 16 fewer than the number of peaches. How many starfruits were thrown away?
| |
Peaches |
Starfruits |
Grapefruits |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 44 |
|
| After |
3 u |
1 u |
3 u - 16 |
166 |
Total number of fruits in the end
= 3 u + 1 u + 3 u - 16
= 7 u - 16
7 u - 16 = 166
7 u = 166 + 16
7 u = 182
1 u = 182 ÷ 7 = 26
Number of grapefruits at first
= 3 u - 16 + 44
= 3 x 26 - 16 + 44
= 78 - 16 + 44
= 106
The number of starfruits and grapefruits at first was the same.
Number of starfruits thrown away
= 106 - 1 u
= 106 - 26
= 80
Answer(s): 80
