A fruit seller had mangoes and persimmons. The ratio of mangoes to persimmons was 3 : 8. After
12 of the mangoes and 63 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 |
3 u |
8 u |
11 u |
| Change |
- 1.5 u |
- 63 |
|
| After |
1.5 u |
4.5 u |
|
Number of mangoes sold
=
12 x 3 u
= 1.5 u
Number of mangoes 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 = 63
1 u = 63 ÷ 3.5 = 18
Number of mangoes and persimmons at first
= 3 u + 8 u
= 11 u
= 11 x 18
= 198
Answer(s): 198
