A fruit seller had oranges and persimmons. The ratio of oranges to persimmons was 3 : 7. After
34 of the oranges and 19 persimmons were sold, there were 3 times as many oranges as persimmons left. How many oranges and persimmons were there at first?
| |
Oranges |
Persimmons |
Total |
| Before |
3 u |
7 u |
10 u |
| Change |
- 2.25 u |
- 19 |
|
| After |
0.75 u |
2.25 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
= 3 x 0.75 u
= 2.25 u
Number of persimmons sold
= 7 u - 2.25 u
= 4.75 u
4.75 u = 19
1 u = 19 ÷ 4.75 = 4
Number of oranges and persimmons at first
= 3 u + 7 u
= 10 u
= 10 x 4
= 40
Answer(s): 40
