A fruit seller had lemons and persimmons. The ratio of lemons to persimmons was 3 : 8. After
12 of the lemons and 35 persimmons were sold, there were 3 times as many lemons as persimmons left. How many lemons and persimmons were there at first?
| |
Lemons |
Persimmons |
Total |
| Before |
3 u |
8 u |
11 u |
| Change |
- 1.5 u |
- 35 |
|
| After |
1.5 u |
4.5 u |
|
Number of lemons sold
=
12 x 3 u
= 1.5 u
Number of lemons left
= 3 u - 1.5 u
= 1.5 u
Number of persimmons left
= 3 x 1.5 u
= 4.5 u
Number of persimmons sold
= 8 u - 4.5 u
= 3.5 u
3.5 u = 35
1 u = 35 ÷ 3.5 = 10
Number of lemons and persimmons at first
= 3 u + 8 u
= 11 u
= 11 x 10
= 110
Answer(s): 110
