A fruit seller had persimmons and starfruits. The ratio of persimmons to starfruits was 3 : 8. After
12 of the persimmons and 70 starfruits were sold, there were 2 times as many persimmons as starfruits left. How many persimmons and starfruits were there at first?
| |
Persimmons |
Starfruits |
Total |
| Before |
3 u |
8 u |
11 u |
| Change |
- 1.5 u |
- 70 |
|
| 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 starfruits left
= 2 x 1.5 u
= 3 u
Number of starfruits sold
= 8 u - 3 u
= 5 u
5 u = 70
1 u = 70 ÷ 5 = 14
Number of persimmons and starfruits at first
= 3 u + 8 u
= 11 u
= 11 x 14
= 154
Answer(s): 154
