A fruit seller had oranges and mangosteens. The ratio of oranges to mangosteens was 3 : 10. After
12 of the oranges and 8 mangosteens were sold, there were 4 times as many oranges as mangosteens left. How many oranges and mangosteens were there at first?
| |
Oranges |
Mangosteens |
Total |
| Before |
3 u |
10 u |
13 u |
| Change |
- 1.5 u |
- 8 |
|
| After |
1.5 u |
6 u |
|
Number of oranges sold
=
12 x 3 u
= 1.5 u
Number of oranges left
= 3 u - 1.5 u
= 1.5 u
Number of mangosteens left
= 4 x 1.5 u
= 6 u
Number of mangosteens sold
= 10 u - 6 u
= 4 u
4 u = 8
1 u = 8 ÷ 4 = 2
Number of oranges and mangosteens at first
= 3 u + 10 u
= 13 u
= 13 x 2
= 26
Answer(s): 26
