A fruit seller had persimmons and lemons. The ratio of persimmons to lemons was 2 : 7. After
34 of the persimmons and 77 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 |
7 u |
9 u |
Change |
- 1.5 u |
- 77 |
|
After |
0.5 u |
1.5 u |
|
Number of persimmons sold
=
34 x 2 u
= 1.5 u
Number of persimmons left
= 2 u - 1.5 u
= 0.5 u
Number of lemons left
= 3 x 0.5 u
= 1.5 u
Number of lemons sold
= 7 u - 1.5 u
= 5.5 u
5.5 u = 77
1 u = 77 ÷ 5.5 = 14
Number of persimmons and lemons at first
= 2 u + 7 u
= 9 u
= 9 x 14
= 126
Answer(s): 126