A fruit seller had lemons and passion fruits. The ratio of lemons to passion fruits was 4 : 9. After
25 of the lemons and 27 passion fruits were sold, there were 3 times as many lemons as passion fruits left. How many lemons and passion fruits were there at first?
|
Lemons |
Passion Fruits |
Total |
Before |
4 u |
9 u |
13 u |
Change |
- 1.6 u |
- 27 |
|
After |
2.4 u |
7.2 u |
|
Number of lemons sold
=
25 x 4 u
= 1.6 u
Number of lemons left
= 4 u - 1.6 u
= 2.4 u
Number of passion fruits left
= 3 x 2.4 u
= 7.2 u
Number of passion fruits sold
= 9 u - 7.2 u
= 1.8 u
1.8 u = 27
1 u = 27 ÷ 1.8 = 15
Number of lemons and passion fruits at first
= 4 u + 9 u
= 13 u
= 13 x 15
= 195
Answer(s): 195