A fruit seller had mangosteens and pears. The ratio of mangosteens to pears was 3 : 11. After
45 of the mangosteens and 184 pears were sold, there were 3 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 |
- 2.4 u |
- 184 |
|
| After |
0.6 u |
1.8 u |
|
Number of mangosteens sold
=
45 x 3 u
= 2.4 u
Number of mangosteens left
= 3 u - 2.4 u
= 0.6 u
Number of pears left
= 3 x 0.6 u
= 1.8 u
Number of pears sold
= 11 u - 1.8 u
= 9.2 u
9.2 u = 184
1 u = 184 ÷ 9.2 = 20
Number of mangosteens and pears at first
= 3 u + 11 u
= 14 u
= 14 x 20
= 280
Answer(s): 280
