A fruit seller had persimmons and lemons. The ratio of persimmons to lemons was 2 : 9. After
14 of the persimmons and 36 lemons were sold, there were 3 times as many persimmons as lemons left. How many persimmons and lemons were there at first?
| |
Persimmons |
Lemons |
Total |
| Before |
2 u |
9 u |
11 u |
| Change |
- 0.5 u |
- 36 |
|
| After |
1.5 u |
4.5 u |
|
Number of persimmons sold
=
14 x 2 u
= 0.5 u
Number of persimmons left
= 2 u - 0.5 u
= 1.5 u
Number of lemons left
= 3 x 1.5 u
= 4.5 u
Number of lemons sold
= 9 u - 4.5 u
= 4.5 u
4.5 u = 36
1 u = 36 ÷ 4.5 = 8
Number of persimmons and lemons at first
= 2 u + 9 u
= 11 u
= 11 x 8
= 88
Answer(s): 88
