A fruit seller had persimmons and starfruits. The ratio of persimmons to starfruits was 3 : 10. After
12 of the persimmons and 48 starfruits were sold, there were 4 times as many persimmons as starfruits left. How many persimmons and starfruits were there at first?
|
Persimmons |
Starfruits |
Total |
Before |
3 u |
10 u |
13 u |
Change |
- 1.5 u |
- 48 |
|
After |
1.5 u |
6 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
= 4 x 1.5 u
= 6 u
Number of starfruits sold
= 10 u - 6 u
= 4 u
4 u = 48
1 u = 48 ÷ 4 = 12
Number of persimmons and starfruits at first
= 3 u + 10 u
= 13 u
= 13 x 12
= 156
Answer(s): 156