A stallholder had the same number of chikoos, mangosteens and mangoes at first. After 128 mangoes, some chikoos and mangosteens were used, there were 152 fruits left. There were four times as many chikoos as mangosteens left. The number of mangoes left was 10 less than the number of chikoos. How many mangosteens were used?
| |
Chikoos |
Mangosteens |
Mangoes |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 128 |
|
| After |
4 u |
1 u |
4 u - 10 |
152 |
Total number of fruits in the end
= 4 u + 1 u + 4 u - 10
= 9 u - 10
9 u - 10 = 152
9 u = 152 + 10
9 u = 162
1 u = 162 ÷ 9 = 18
Number of mangoes at first
= 4 u - 10 + 128
= 4 x 18 - 10 + 128
= 72 - 10 + 128
= 190
The number of mangosteens and mangoes at first was the same.
Number of mangosteens used
= 190 - 1 u
= 190 - 18
= 172
Answer(s): 172
