A store owner had the same number of starfruits, guavas and mangosteens at first. After 68 mangosteens, some starfruits and guavas were sold, there were 119 fruits left. There were five times as many starfruits as guavas left. The number of mangosteens left was 24 less than the number of starfruits. How many guavas were sold?
| |
Starfruits |
Guavas |
Mangosteens |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 68 |
|
| After |
5 u |
1 u |
5 u - 24 |
119 |
Total number of fruits in the end
= 5 u + 1 u + 5 u - 24
= 11 u - 24
11 u - 24 = 119
11 u = 119 + 24
11 u = 143
1 u = 143 ÷ 11 = 13
Number of mangosteens at first
= 5 u - 24 + 68
= 5 x 13 - 24 + 68
= 65 - 24 + 68
= 109
The number of guavas and mangosteens at first was the same.
Number of guavas sold
= 109 - 1 u
= 109 - 13
= 96
Answer(s): 96
