A fruit seller had mangoes and persimmons. The ratio of mangoes to persimmons was 2 : 9. After
25 of the mangoes and 108 persimmons were sold, there were 3 times as many mangoes as persimmons left. How many mangoes and persimmons were there at first?
| |
Mangoes |
Persimmons |
Total |
| Before |
2 u |
9 u |
11 u |
| Change |
- 0.8 u |
- 108 |
|
| After |
1.2 u |
3.6 u |
|
Number of mangoes sold
=
25 x 2 u
= 0.8 u
Number of mangoes left
= 2 u - 0.8 u
= 1.2 u
Number of persimmons left
= 3 x 1.2 u
= 3.6 u
Number of persimmons sold
= 9 u - 3.6 u
= 5.4 u
5.4 u = 108
1 u = 108 ÷ 5.4 = 20
Number of mangoes and persimmons at first
= 2 u + 9 u
= 11 u
= 11 x 20
= 220
Answer(s): 220
