A fruit seller had the same number of lemons, peaches and grapefruits at first. After 108 grapefruits, some lemons and peaches were given away, there were 173 fruits left. There were five times as many lemons as peaches left. The number of grapefruits left was 36 fewer than the number of lemons. How many peaches were given away?
| |
Lemons |
Peaches |
Grapefruits |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 108 |
|
| After |
5 u |
1 u |
5 u - 36 |
173 |
Total number of fruits in the end
= 5 u + 1 u + 5 u - 36
= 11 u - 36
11 u - 36 = 173
11 u = 173 + 36
11 u = 209
1 u = 209 ÷ 11 = 19
Number of grapefruits at first
= 5 u - 36 + 108
= 5 x 19 - 36 + 108
= 95 - 36 + 108
= 167
The number of peaches and grapefruits at first was the same.
Number of peaches given away
= 167 - 1 u
= 167 - 19
= 148
Answer(s): 148
