A grocer had the same number of mangosteens, starfruits and grapefruits at first. After 114 grapefruits, some mangosteens and starfruits were used, there were 111 fruits left. There were four times as many mangosteens as starfruits left. The number of grapefruits left was 24 less than the number of mangosteens. How many starfruits were used?
| |
Mangosteens |
Starfruits |
Grapefruits |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 114 |
|
| After |
4 u |
1 u |
4 u - 24 |
111 |
Total number of fruits in the end
= 4 u + 1 u + 4 u - 24
= 9 u - 24
9 u - 24 = 111
9 u = 111 + 24
9 u = 135
1 u = 135 ÷ 9 = 15
Number of grapefruits at first
= 4 u - 24 + 114
= 4 x 15 - 24 + 114
= 60 - 24 + 114
= 150
The number of starfruits and grapefruits at first was the same.
Number of starfruits used
= 150 - 1 u
= 150 - 15
= 135
Answer(s): 135
