There were 110 pears and starfruits altogether. After
34 of the pears and half of the starfruits were sold, there were a total of 35 pears and starfruits left. What fraction of the fruits were pears at first? Give your answer in its simplest form.
| |
Pears |
Starfruits |
Total |
| Before |
4 u |
2 p |
110 |
| Change |
- 3 u |
- 1 p |
- 75 |
| After |
1 u |
1 p |
35 |
Number of pears and starfruits sold
= 110 - 35
= 75
3 u + 1 p = 75
1 p = 75 - 3 u --- (1)
1 u + 1 p = 35
1 p = 35 - 1 u --- (2)
(2) = (1)
35 - 1 u = 75 - 3 u
3 u - 1 u = 75 - 35
2 u = 40
1 u = 40 ÷ 2 = 20
Number of pears at first
= 4 u
= 4 x 20
= 80
Fraction of the fruits that were pears at first
=
80110 =
811 Answer(s):
811 
