A fruit seller had persimmons and mangosteens. The ratio of persimmons to mangosteens was 4 : 9. After
35 of the persimmons and 39 mangosteens were sold, there were 4 times as many persimmons as mangosteens left. How many persimmons and mangosteens were there at first?
|
Persimmons |
Mangosteens |
Total |
Before |
4 u |
9 u |
13 u |
Change |
- 2.4 u |
- 39 |
|
After |
1.6 u |
6.4 u |
|
Number of persimmons sold
=
35 x 4 u
= 2.4 u
Number of persimmons left
= 4 u - 2.4 u
= 1.6 u
Number of mangosteens left
= 4 x 1.6 u
= 6.4 u
Number of mangosteens sold
= 9 u - 6.4 u
= 2.6 u
2.6 u = 39
1 u = 39 ÷ 2.6 = 15
Number of persimmons and mangosteens at first
= 4 u + 9 u
= 13 u
= 13 x 15
= 195
Answer(s): 195