A grocer had the same number of passion fruits, pomegranates and guavas at first. After 113 guavas, some passion fruits and pomegranates were used, there were 200 fruits left. There were five times as many passion fruits as pomegranates left. The number of guavas left was 20 less than the number of passion fruits. How many pomegranates were used?
| |
Passion Fruits |
Pomegranates |
Guavas |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 113 |
|
| After |
5 u |
1 u |
5 u - 20 |
200 |
Total number of fruits in the end
= 5 u + 1 u + 5 u - 20
= 11 u - 20
11 u - 20 = 200
11 u = 200 + 20
11 u = 220
1 u = 220 ÷ 11 = 20
Number of guavas at first
= 5 u - 20 + 113
= 5 x 20 - 20 + 113
= 100 - 20 + 113
= 193
The number of pomegranates and guavas at first was the same.
Number of pomegranates used
= 193 - 1 u
= 193 - 20
= 173
Answer(s): 173
