A fruit seller had mangosteens and pears. The ratio of mangosteens to pears was 3 : 11. After
12 of the mangosteens and 16 pears were sold, there were 2 times as many mangosteens as pears left. How many mangosteens and pears were there at first?
|
Mangosteens |
Pears |
Total |
Before |
3 u |
11 u |
14 u |
Change |
- 1.5 u |
- 16 |
|
After |
1.5 u |
3 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 pears left
= 2 x 1.5 u
= 3 u
Number of pears sold
= 11 u - 3 u
= 8 u
8 u = 16
1 u = 16 ÷ 8 = 2
Number of mangosteens and pears at first
= 3 u + 11 u
= 14 u
= 14 x 2
= 28
Answer(s): 28