A fruit seller had the same number of mangoes, mangosteens and lemons at first. After 132 lemons, some mangoes and mangosteens were taken out, there were 100 fruits left. There were five times as many mangoes as mangosteens left. The number of lemons left was 32 fewer than the number of mangoes. How many mangosteens were taken out?
| |
Mangoes |
Mangosteens |
Lemons |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 132 |
|
| After |
5 u |
1 u |
5 u - 32 |
100 |
Total number of fruits in the end
= 5 u + 1 u + 5 u - 32
= 11 u - 32
11 u - 32 = 100
11 u = 100 + 32
11 u = 132
1 u = 132 ÷ 11 = 12
Number of lemons at first
= 5 u - 32 + 132
= 5 x 12 - 32 + 132
= 60 - 32 + 132
= 160
The number of mangosteens and lemons at first was the same.
Number of mangosteens taken out
= 160 - 1 u
= 160 - 12
= 148
Answer(s): 148
