A fruit seller had mangosteens and mangoes. The ratio of mangosteens to mangoes was 2 : 11. After
34 of the mangosteens and 180 mangoes were sold, there were 2 times as many mangosteens as mangoes left. How many mangosteens and mangoes were there at first?
| |
Mangosteens |
Mangoes |
Total |
| Before |
2 u |
11 u |
13 u |
| Change |
- 1.5 u |
- 180 |
|
| After |
0.5 u |
1 u |
|
Number of mangosteens sold
=
34 x 2 u
= 1.5 u
Number of mangosteens left
= 2 u - 1.5 u
= 0.5 u
Number of mangoes left
= 2 x 0.5 u
= 1 u
Number of mangoes sold
= 11 u - 1 u
= 10 u
10 u = 180
1 u = 180 ÷ 10 = 18
Number of mangosteens and mangoes at first
= 2 u + 11 u
= 13 u
= 13 x 18
= 234
Answer(s): 234
