A fruit seller had mangosteens and chikoos. The ratio of mangosteens to chikoos was 3 : 8. After
14 of the mangosteens and 42 chikoos were sold, there were 2 times as many mangosteens as chikoos left. How many mangosteens and chikoos were there at first?
|
Mangosteens |
Chikoos |
Total |
Before |
3 u |
8 u |
11 u |
Change |
- 0.75 u |
- 42 |
|
After |
2.25 u |
4.5 u |
|
Number of mangosteens sold
=
14 x 3 u
= 0.75 u
Number of mangosteens left
= 3 u - 0.75 u
= 2.25 u
Number of chikoos left
= 2 x 2.25 u
= 4.5 u
Number of chikoos sold
= 8 u - 4.5 u
= 3.5 u
3.5 u = 42
1 u = 42 ÷ 3.5 = 12
Number of mangosteens and chikoos at first
= 3 u + 8 u
= 11 u
= 11 x 12
= 132
Answer(s): 132