A fruit seller had mangosteens and mangoes. The ratio of mangosteens to mangoes was 2 : 9. After
14 of the mangosteens and 18 mangoes were sold, there were 3 times as many mangosteens as mangoes left. How many mangosteens and mangoes were there at first?
| |
Mangosteens |
Mangoes |
Total |
| Before |
2 u |
9 u |
11 u |
| Change |
- 0.5 u |
- 18 |
|
| After |
1.5 u |
4.5 u |
|
Number of mangosteens sold
=
14 x 2 u
= 0.5 u
Number of mangosteens left
= 2 u - 0.5 u
= 1.5 u
Number of mangoes left
= 3 x 1.5 u
= 4.5 u
Number of mangoes sold
= 9 u - 4.5 u
= 4.5 u
4.5 u = 18
1 u = 18 ÷ 4.5 = 4
Number of mangosteens and mangoes at first
= 2 u + 9 u
= 11 u
= 11 x 4
= 44
Answer(s): 44
