A fruit seller had oranges and persimmons. The ratio of oranges to persimmons was 3 : 10. After
34 of the oranges and 112 persimmons were sold, there were 4 times as many oranges as persimmons left. How many oranges and persimmons were there at first?
| |
Oranges |
Persimmons |
Total |
| Before |
3 u |
10 u |
13 u |
| Change |
- 2.25 u |
- 112 |
|
| After |
0.75 u |
3 u |
|
Number of oranges sold
=
34 x 3 u
= 2.25 u
Number of oranges left
= 3 u - 2.25 u
= 0.75 u
Number of persimmons left
= 4 x 0.75 u
= 3 u
Number of persimmons sold
= 10 u - 3 u
= 7 u
7 u = 112
1 u = 112 ÷ 7 = 16
Number of oranges and persimmons at first
= 3 u + 10 u
= 13 u
= 13 x 16
= 208
Answer(s): 208
