A grocer had the same number of pears, grapefruits and lemons at first. After 73 lemons, some pears and grapefruits were given away, there were 126 fruits left. There were five times as many pears as grapefruits left. The number of lemons left was 28 less than the number of pears. How many grapefruits were given away?
| |
Pears |
Grapefruits |
Lemons |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 73 |
|
| After |
5 u |
1 u |
5 u - 28 |
126 |
Total number of fruits in the end
= 5 u + 1 u + 5 u - 28
= 11 u - 28
11 u - 28 = 126
11 u = 126 + 28
11 u = 154
1 u = 154 ÷ 11 = 14
Number of lemons at first
= 5 u - 28 + 73
= 5 x 14 - 28 + 73
= 70 - 28 + 73
= 115
The number of grapefruits and lemons at first was the same.
Number of grapefruits given away
= 115 - 1 u
= 115 - 14
= 101
Answer(s): 101
