A fruit seller had mangosteens and oranges. The ratio of mangosteens to oranges was 3 : 11. After
45 of the mangosteens and 196 oranges were sold, there were 2 times as many mangosteens as oranges left. How many mangosteens and oranges were there at first?
| |
Mangosteens |
Oranges |
Total |
| Before |
3 u |
11 u |
14 u |
| Change |
- 2.4 u |
- 196 |
|
| After |
0.6 u |
1.2 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 oranges left
= 2 x 0.6 u
= 1.2 u
Number of oranges sold
= 11 u - 1.2 u
= 9.8 u
9.8 u = 196
1 u = 196 ÷ 9.8 = 20
Number of mangosteens and oranges at first
= 3 u + 11 u
= 14 u
= 14 x 20
= 280
Answer(s): 280
