A stallholder had the same number of chikoos, pears and mangosteens at first. After 87 mangosteens, some chikoos and pears were removed, there were 143 fruits left. There were twice as many chikoos as pears left. The number of mangosteens left was 17 less than the number of chikoos. How many pears were removed?
| |
Chikoos |
Pears |
Mangosteens |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 87 |
|
| After |
2 u |
1 u |
2 u - 17 |
143 |
Total number of fruits in the end
= 2 u + 1 u + 2 u - 17
= 5 u - 17
5 u - 17 = 143
5 u = 143 + 17
5 u = 160
1 u = 160 ÷ 5 = 32
Number of mangosteens at first
= 2 u - 17 + 87
= 2 x 32 - 17 + 87
= 64 - 17 + 87
= 134
The number of pears and mangosteens at first was the same.
Number of pears removed
= 134 - 1 u
= 134 - 32
= 102
Answer(s): 102
