A fruit seller had lemons and passion fruits. The ratio of lemons to passion fruits was 2 : 9. After
45 of the lemons and 82 passion fruits were sold, there were 2 times as many lemons as passion fruits left. How many lemons and passion fruits were there at first?
| |
Lemons |
Passion Fruits |
Total |
| Before |
2 u |
9 u |
11 u |
| Change |
- 1.6 u |
- 82 |
|
| After |
0.4 u |
0.8 u |
|
Number of lemons sold
=
45 x 2 u
= 1.6 u
Number of lemons left
= 2 u - 1.6 u
= 0.4 u
Number of passion fruits left
= 2 x 0.4 u
= 0.8 u
Number of passion fruits sold
= 9 u - 0.8 u
= 8.2 u
8.2 u = 82
1 u = 82 ÷ 8.2 = 10
Number of lemons and passion fruits at first
= 2 u + 9 u
= 11 u
= 11 x 10
= 110
Answer(s): 110
