A fruit seller had persimmons and lemons. The ratio of persimmons to lemons was 2 : 11. After
35 of the persimmons and 86 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 |
11 u |
13 u |
Change |
- 1.2 u |
- 86 |
|
After |
0.8 u |
2.4 u |
|
Number of persimmons sold
=
35 x 2 u
= 1.2 u
Number of persimmons left
= 2 u - 1.2 u
= 0.8 u
Number of lemons left
= 3 x 0.8 u
= 2.4 u
Number of lemons sold
= 11 u - 2.4 u
= 8.6 u
8.6 u = 86
1 u = 86 ÷ 8.6 = 10
Number of persimmons and lemons at first
= 2 u + 11 u
= 13 u
= 13 x 10
= 130
Answer(s): 130