A grocer had the same number of kiwis, starfruits and pears at first. After 59 pears, some kiwis and starfruits were given away, there were 164 fruits left. There were thrice as many kiwis as starfruits left. The number of pears left was 32 less than the number of kiwis. How many starfruits were given away?
| |
Kiwis |
Starfruits |
Pears |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 59 |
|
| After |
3 u |
1 u |
3 u - 32 |
164 |
Total number of fruits in the end
= 3 u + 1 u + 3 u - 32
= 7 u - 32
7 u - 32 = 164
7 u = 164 + 32
7 u = 196
1 u = 196 ÷ 7 = 28
Number of pears at first
= 3 u - 32 + 59
= 3 x 28 - 32 + 59
= 84 - 32 + 59
= 111
The number of starfruits and pears at first was the same.
Number of starfruits given away
= 111 - 1 u
= 111 - 28
= 83
Answer(s): 83
