A grocer had the same number of mangosteens, pomegranates and dragonfruits at first. After 51 dragonfruits, some mangosteens and pomegranates were used, there were 136 fruits left. There were twice as many mangosteens as pomegranates left. The number of dragonfruits left was 14 less than the number of mangosteens. How many pomegranates were used?
| |
Mangosteens |
Pomegranates |
Dragonfruits |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 51 |
|
| After |
2 u |
1 u |
2 u - 14 |
136 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 14
= 5 u - 14
5 u - 14 = 136
5 u = 136 + 14
5 u = 150
1 u = 150 ÷ 5 = 30
Number of dragonfruits at first
= 2 u - 14 + 51
= 2 x 30 - 14 + 51
= 60 - 14 + 51
= 97
The number of pomegranates and dragonfruits at first was the same.
Number of pomegranates used
= 97 - 1 u
= 97 - 30
= 67
Answer(s): 67
