A fruit seller had lemons and starfruits. The ratio of lemons to starfruits was 3 : 10. After
12 of the lemons and 99 starfruits were sold, there were 3 times as many lemons as starfruits left. How many lemons and starfruits were there at first?
| |
Lemons |
Starfruits |
Total |
| Before |
3 u |
10 u |
13 u |
| Change |
- 1.5 u |
- 99 |
|
| After |
1.5 u |
4.5 u |
|
Number of lemons sold
=
12 x 3 u
= 1.5 u
Number of lemons left
= 3 u - 1.5 u
= 1.5 u
Number of starfruits left
= 3 x 1.5 u
= 4.5 u
Number of starfruits sold
= 10 u - 4.5 u
= 5.5 u
5.5 u = 99
1 u = 99 ÷ 5.5 = 18
Number of lemons and starfruits at first
= 3 u + 10 u
= 13 u
= 13 x 18
= 234
Answer(s): 234
