A fruit seller had mangosteens and lemons. The ratio of mangosteens to lemons was 3 : 11. After
12 of the mangosteens and 30 lemons were sold, there were 4 times as many mangosteens as lemons left. How many mangosteens and lemons were there at first?
| |
Mangosteens |
Lemons |
Total |
| Before |
3 u |
11 u |
14 u |
| Change |
- 1.5 u |
- 30 |
|
| After |
1.5 u |
6 u |
|
Number of mangosteens sold
=
12 x 3 u
= 1.5 u
Number of mangosteens left
= 3 u - 1.5 u
= 1.5 u
Number of lemons left
= 4 x 1.5 u
= 6 u
Number of lemons sold
= 11 u - 6 u
= 5 u
5 u = 30
1 u = 30 ÷ 5 = 6
Number of mangosteens and lemons at first
= 3 u + 11 u
= 14 u
= 14 x 6
= 84
Answer(s): 84
