A grocer had the same number of peaches, lemons and starfruits at first. After 140 starfruits, some peaches and lemons were given away, there were 99 fruits left. There were five times as many peaches as lemons left. The number of starfruits left was 22 fewer than the number of peaches. How many lemons were given away?
| |
Peaches |
Lemons |
Starfruits |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 140 |
|
| After |
5 u |
1 u |
5 u - 22 |
99 |
Total number of fruits in the end
= 5 u + 1 u + 5 u - 22
= 11 u - 22
11 u - 22 = 99
11 u = 99 + 22
11 u = 121
1 u = 121 ÷ 11 = 11
Number of starfruits at first
= 5 u - 22 + 140
= 5 x 11 - 22 + 140
= 55 - 22 + 140
= 173
The number of lemons and starfruits at first was the same.
Number of lemons given away
= 173 - 1 u
= 173 - 11
= 162
Answer(s): 162
