A fruit seller had oranges and mangosteens. The ratio of oranges to mangosteens was 4 : 9. After
45 of the oranges and 99 mangosteens were sold, there were 3 times as many oranges as mangosteens left. How many oranges and mangosteens were there at first?
| |
Oranges |
Mangosteens |
Total |
| Before |
4 u |
9 u |
13 u |
| Change |
- 3.2 u |
- 99 |
|
| After |
0.8 u |
2.4 u |
|
Number of oranges sold
=
45 x 4 u
= 3.2 u
Number of oranges left
= 4 u - 3.2 u
= 0.8 u
Number of mangosteens left
= 3 x 0.8 u
= 2.4 u
Number of mangosteens sold
= 9 u - 2.4 u
= 6.6 u
6.6 u = 99
1 u = 99 ÷ 6.6 = 15
Number of oranges and mangosteens at first
= 4 u + 9 u
= 13 u
= 13 x 15
= 195
Answer(s): 195
