There were 108 lemons and starfruits altogether. After
56 of the lemons and half of the starfruits were sold, there were a total of 22 lemons and starfruits left. What fraction of the fruits were starfruits at first? Give your answer in its simplest form.
|
Lemons |
Starfruits |
Total |
Before |
6 u |
2 p |
108 |
Change |
- 5 u |
- 1 p |
- 86 |
After |
1 u |
1 p |
22 |
Number of lemons and starfruits sold
= 108 - 22
= 86
5 u + 1 p = 86
1 p = 86 - 5 u --- (1)
1 u + 1 p = 22
1 p = 22 - 1 u --- (2)
(2) = (1)
22 - 1 u = 86 - 5 u
5 u - 1 u = 86 - 22
4 u = 64
1 u = 64 ÷ 4 = 16
Number of lemons at first
= 6 u
= 6 x 16
= 96
Number of starfruits at first
= 108 - 96
= 12
Fraction of the fruits that were starfruits at first
=
12108 =
19 Answer(s):
19