A grocer had the same number of mangoes, mangosteens and pears at first. After 145 pears, some mangoes and mangosteens were removed, there were 155 fruits left. There were five times as many mangoes as mangosteens left. The number of pears left was 21 less than the number of mangoes. How many mangosteens were removed?
| |
Mangoes |
Mangosteens |
Pears |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 145 |
|
| After |
5 u |
1 u |
5 u - 21 |
155 |
Total number of fruits in the end
= 5 u + 1 u + 5 u - 21
= 11 u - 21
11 u - 21 = 155
11 u = 155 + 21
11 u = 176
1 u = 176 ÷ 11 = 16
Number of pears at first
= 5 u - 21 + 145
= 5 x 16 - 21 + 145
= 80 - 21 + 145
= 204
The number of mangosteens and pears at first was the same.
Number of mangosteens removed
= 204 - 1 u
= 204 - 16
= 188
Answer(s): 188
