A fruit seller had lemons and passion fruits. The ratio of lemons to passion fruits was 2 : 7. After
34 of the lemons and 90 passion fruits were sold, there were 4 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 |
7 u |
9 u |
Change |
- 1.5 u |
- 90 |
|
After |
0.5 u |
2 u |
|
Number of lemons sold
=
34 x 2 u
= 1.5 u
Number of lemons left
= 2 u - 1.5 u
= 0.5 u
Number of passion fruits left
= 4 x 0.5 u
= 2 u
Number of passion fruits sold
= 7 u - 2 u
= 5 u
5 u = 90
1 u = 90 ÷ 5 = 18
Number of lemons and passion fruits at first
= 2 u + 7 u
= 9 u
= 9 x 18
= 162
Answer(s): 162