A fruit seller had mangosteens and pomegranates. The ratio of mangosteens to pomegranates was 3 : 10. After
45 of the mangosteens and 44 pomegranates were sold, there were 2 times as many mangosteens as pomegranates left. How many mangosteens and pomegranates were there at first?
| |
Mangosteens |
Pomegranates |
Total |
| Before |
3 u |
10 u |
13 u |
| Change |
- 2.4 u |
- 44 |
|
| After |
0.6 u |
1.2 u |
|
Number of mangosteens sold
=
45 x 3 u
= 2.4 u
Number of mangosteens left
= 3 u - 2.4 u
= 0.6 u
Number of pomegranates left
= 2 x 0.6 u
= 1.2 u
Number of pomegranates sold
= 10 u - 1.2 u
= 8.8 u
8.8 u = 44
1 u = 44 ÷ 8.8 = 5
Number of mangosteens and pomegranates at first
= 3 u + 10 u
= 13 u
= 13 x 5
= 65
Answer(s): 65
