A grocer had the same number of persimmons, lemons and grapefruits at first. After 103 grapefruits, some persimmons and lemons were given away, there were 157 fruits left. There were five times as many persimmons as lemons left. The number of grapefruits left was 30 less than the number of persimmons. How many lemons were given away?
| |
Persimmons |
Lemons |
Grapefruits |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 103 |
|
| After |
5 u |
1 u |
5 u - 30 |
157 |
Total number of fruits in the end
= 5 u + 1 u + 5 u - 30
= 11 u - 30
11 u - 30 = 157
11 u = 157 + 30
11 u = 187
1 u = 187 ÷ 11 = 17
Number of grapefruits at first
= 5 u - 30 + 103
= 5 x 17 - 30 + 103
= 85 - 30 + 103
= 158
The number of lemons and grapefruits at first was the same.
Number of lemons given away
= 158 - 1 u
= 158 - 17
= 141
Answer(s): 141
