A fruit seller had the same number of mangosteens, mangoes and peaches at first. After 132 peaches, some mangosteens and mangoes were used, there were 106 fruits left. There were twice as many mangosteens as mangoes left. The number of peaches left was 29 fewer than the number of mangosteens. How many mangoes were used?
| |
Mangosteens |
Mangoes |
Peaches |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 132 |
|
| After |
2 u |
1 u |
2 u - 29 |
106 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 29
= 5 u - 29
5 u - 29 = 106
5 u = 106 + 29
5 u = 135
1 u = 135 ÷ 5 = 27
Number of peaches at first
= 2 u - 29 + 132
= 2 x 27 - 29 + 132
= 54 - 29 + 132
= 157
The number of mangoes and peaches at first was the same.
Number of mangoes used
= 157 - 1 u
= 157 - 27
= 130
Answer(s): 130
