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