A fruit seller had lemons and passion fruits. The ratio of lemons to passion fruits was 3 : 10. After
14 of the lemons and 44 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 |
3 u |
10 u |
13 u |
Change |
- 0.75 u |
- 44 |
|
After |
2.25 u |
4.5 u |
|
Number of lemons sold
=
14 x 3 u
= 0.75 u
Number of lemons left
= 3 u - 0.75 u
= 2.25 u
Number of passion fruits left
= 2 x 2.25 u
= 4.5 u
Number of passion fruits sold
= 10 u - 4.5 u
= 5.5 u
5.5 u = 44
1 u = 44 ÷ 5.5 = 8
Number of lemons and passion fruits at first
= 3 u + 10 u
= 13 u
= 13 x 8
= 104
Answer(s): 104