A fruit seller had persimmons and mangoes. The ratio of persimmons to mangoes was 2 : 7. After
34 of the persimmons and 84 mangoes were sold, there were 2 times as many persimmons as mangoes left. How many persimmons and mangoes were there at first?
|
Persimmons |
Mangoes |
Total |
Before |
2 u |
7 u |
9 u |
Change |
- 1.5 u |
- 84 |
|
After |
0.5 u |
1 u |
|
Number of persimmons sold
=
34 x 2 u
= 1.5 u
Number of persimmons left
= 2 u - 1.5 u
= 0.5 u
Number of mangoes left
= 2 x 0.5 u
= 1 u
Number of mangoes sold
= 7 u - 1 u
= 6 u
6 u = 84
1 u = 84 ÷ 6 = 14
Number of persimmons and mangoes at first
= 2 u + 7 u
= 9 u
= 9 x 14
= 126
Answer(s): 126