A fruit seller had the same number of starfruits, peaches and guavas at first. After 123 guavas, some starfruits and peaches were used, there were 142 fruits left. There were twice as many starfruits as peaches left. The number of guavas left was 13 less than the number of starfruits. How many peaches were used?
| |
Starfruits |
Peaches |
Guavas |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 123 |
|
| After |
2 u |
1 u |
2 u - 13 |
142 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 13
= 5 u - 13
5 u - 13 = 142
5 u = 142 + 13
5 u = 155
1 u = 155 ÷ 5 = 31
Number of guavas at first
= 2 u - 13 + 123
= 2 x 31 - 13 + 123
= 62 - 13 + 123
= 172
The number of peaches and guavas at first was the same.
Number of peaches used
= 172 - 1 u
= 172 - 31
= 141
Answer(s): 141
