A store owner had the same number of passion fruits, guavas and mangosteens at first. After 55 mangosteens, some passion fruits and guavas were thrown away, there were 144 fruits left. There were thrice as many passion fruits as guavas left. The number of mangosteens left was 10 fewer than the number of passion fruits. How many guavas were thrown away?
| |
Passion Fruits |
Guavas |
Mangosteens |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 55 |
|
| After |
3 u |
1 u |
3 u - 10 |
144 |
Total number of fruits in the end
= 3 u + 1 u + 3 u - 10
= 7 u - 10
7 u - 10 = 144
7 u = 144 + 10
7 u = 154
1 u = 154 ÷ 7 = 22
Number of mangosteens at first
= 3 u - 10 + 55
= 3 x 22 - 10 + 55
= 66 - 10 + 55
= 111
The number of guavas and mangosteens at first was the same.
Number of guavas thrown away
= 111 - 1 u
= 111 - 22
= 89
Answer(s): 89
