A fruit seller had persimmons and apples. The ratio of persimmons to apples was 3 : 11. After
12 of the persimmons and 16 apples were sold, there were 2 times as many persimmons as apples left. How many persimmons and apples were there at first?
| |
Persimmons |
Apples |
Total |
| Before |
3 u |
11 u |
14 u |
| Change |
- 1.5 u |
- 16 |
|
| After |
1.5 u |
3 u |
|
Number of persimmons sold
=
12 x 3 u
= 1.5 u
Number of persimmons left
= 3 u - 1.5 u
= 1.5 u
Number of apples left
= 2 x 1.5 u
= 3 u
Number of apples sold
= 11 u - 3 u
= 8 u
8 u = 16
1 u = 16 ÷ 8 = 2
Number of persimmons and apples at first
= 3 u + 11 u
= 14 u
= 14 x 2
= 28
Answer(s): 28
