A fruit seller had mangosteens and kiwis. The ratio of mangosteens to kiwis was 2 : 9. After
25 of the mangosteens and 42 kiwis were sold, there were 4 times as many mangosteens as kiwis left. How many mangosteens and kiwis were there at first?
| |
Mangosteens |
Kiwis |
Total |
| Before |
2 u |
9 u |
11 u |
| Change |
- 0.8 u |
- 42 |
|
| After |
1.2 u |
4.8 u |
|
Number of mangosteens sold
=
25 x 2 u
= 0.8 u
Number of mangosteens left
= 2 u - 0.8 u
= 1.2 u
Number of kiwis left
= 4 x 1.2 u
= 4.8 u
Number of kiwis sold
= 9 u - 4.8 u
= 4.2 u
4.2 u = 42
1 u = 42 ÷ 4.2 = 10
Number of mangosteens and kiwis at first
= 2 u + 9 u
= 11 u
= 11 x 10
= 110
Answer(s): 110
