There were 138 pears and dragonfruits altogether. After
56 of the pears and half of the dragonfruits were sold, there were a total of 33 pears and dragonfruits left. What fraction of the fruits were pears at first? Give your answer in its simplest form.
| |
Pears |
Dragonfruits |
Total |
| Before |
6 u |
2 p |
138 |
| Change |
- 5 u |
- 1 p |
- 105 |
| After |
1 u |
1 p |
33 |
Number of pears and dragonfruits sold
= 138 - 33
= 105
5 u + 1 p = 105
1 p = 105 - 5 u --- (1)
1 u + 1 p = 33
1 p = 33 - 1 u --- (2)
(2) = (1)
33 - 1 u = 105 - 5 u
5 u - 1 u = 105 - 33
4 u = 72
1 u = 72 ÷ 4 = 18
Number of pears at first
= 6 u
= 6 x 18
= 108
Fraction of the fruits that were pears at first
=
108138 =
1823 Answer(s):
1823 
