A store owner had the same number of grapefruits, starfruits and mangosteens at first. After 49 mangosteens, some grapefruits and starfruits were removed, there were 110 fruits left. There were thrice as many grapefruits as starfruits left. The number of mangosteens left was 37 less than the number of grapefruits. How many starfruits were removed?
| |
Grapefruits |
Starfruits |
Mangosteens |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 49 |
|
| After |
3 u |
1 u |
3 u - 37 |
110 |
Total number of fruits in the end
= 3 u + 1 u + 3 u - 37
= 7 u - 37
7 u - 37 = 110
7 u = 110 + 37
7 u = 147
1 u = 147 ÷ 7 = 21
Number of mangosteens at first
= 3 u - 37 + 49
= 3 x 21 - 37 + 49
= 63 - 37 + 49
= 75
The number of starfruits and mangosteens at first was the same.
Number of starfruits removed
= 75 - 1 u
= 75 - 21
= 54
Answer(s): 54
