A fruit seller had passion fruits and mangosteens. The ratio of passion fruits to mangosteens was 2 : 9. After
45 of the passion fruits and 78 mangosteens were sold, there were 3 times as many passion fruits as mangosteens left. How many passion fruits and mangosteens were there at first?
| |
Passion Fruits |
Mangosteens |
Total |
| Before |
2 u |
9 u |
11 u |
| Change |
- 1.6 u |
- 78 |
|
| After |
0.4 u |
1.2 u |
|
Number of passion fruits sold
=
45 x 2 u
= 1.6 u
Number of passion fruits left
= 2 u - 1.6 u
= 0.4 u
Number of mangosteens left
= 3 x 0.4 u
= 1.2 u
Number of mangosteens sold
= 9 u - 1.2 u
= 7.8 u
7.8 u = 78
1 u = 78 ÷ 7.8 = 10
Number of passion fruits and mangosteens at first
= 2 u + 9 u
= 11 u
= 11 x 10
= 110
Answer(s): 110
