A grocer had the same number of mangosteens, mangoes and chikoos at first. After 136 chikoos, some mangosteens and mangoes were given away, there were 103 fruits left. There were four times as many mangosteens as mangoes left. The number of chikoos left was 32 less than the number of mangosteens. How many mangoes were given away?
| |
Mangosteens |
Mangoes |
Chikoos |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 136 |
|
| After |
4 u |
1 u |
4 u - 32 |
103 |
Total number of fruits in the end
= 4 u + 1 u + 4 u - 32
= 9 u - 32
9 u - 32 = 103
9 u = 103 + 32
9 u = 135
1 u = 135 ÷ 9 = 15
Number of chikoos at first
= 4 u - 32 + 136
= 4 x 15 - 32 + 136
= 60 - 32 + 136
= 164
The number of mangoes and chikoos at first was the same.
Number of mangoes given away
= 164 - 1 u
= 164 - 15
= 149
Answer(s): 149
