A store owner had the same number of passion fruits, peaches and grapefruits at first. After 131 grapefruits, some passion fruits and peaches were thrown away, there were 155 fruits left. There were five times as many passion fruits as peaches left. The number of grapefruits left was 10 less than the number of passion fruits. How many peaches were thrown away?
| |
Passion Fruits |
Peaches |
Grapefruits |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 131 |
|
| After |
5 u |
1 u |
5 u - 10 |
155 |
Total number of fruits in the end
= 5 u + 1 u + 5 u - 10
= 11 u - 10
11 u - 10 = 155
11 u = 155 + 10
11 u = 165
1 u = 165 ÷ 11 = 15
Number of grapefruits at first
= 5 u - 10 + 131
= 5 x 15 - 10 + 131
= 75 - 10 + 131
= 196
The number of peaches and grapefruits at first was the same.
Number of peaches thrown away
= 196 - 1 u
= 196 - 15
= 181
Answer(s): 181
