A fruit seller had mangosteens and persimmons. The ratio of mangosteens to persimmons was 2 : 9. After
14 of the mangosteens and 90 persimmons were sold, there were 3 times as many mangosteens as persimmons left. How many mangosteens and persimmons were there at first?
| |
Mangosteens |
Persimmons |
Total |
| Before |
2 u |
9 u |
11 u |
| Change |
- 0.5 u |
- 90 |
|
| After |
1.5 u |
4.5 u |
|
Number of mangosteens sold
=
14 x 2 u
= 0.5 u
Number of mangosteens left
= 2 u - 0.5 u
= 1.5 u
Number of persimmons left
= 3 x 1.5 u
= 4.5 u
Number of persimmons sold
= 9 u - 4.5 u
= 4.5 u
4.5 u = 90
1 u = 90 ÷ 4.5 = 20
Number of mangosteens and persimmons at first
= 2 u + 9 u
= 11 u
= 11 x 20
= 220
Answer(s): 220
