There were 118 dragonfruits and peaches altogether. After
56 of the dragonfruits and half of the peaches were given away, there were a total of 37 dragonfruits and peaches left. What fraction of the fruits were peaches at first? Give your answer in its simplest form.
| |
Dragonfruits |
Peaches |
Total |
| Before |
6 u |
2 p |
118 |
| Change |
- 5 u |
- 1 p |
- 81 |
| After |
1 u |
1 p |
37 |
Number of dragonfruits and peaches given away
= 118 - 37
= 81
5 u + 1 p = 81
1 p = 81 - 5 u --- (1)
1 u + 1 p = 37
1 p = 37 - 1 u --- (2)
(2) = (1)
37 - 1 u = 81 - 5 u
5 u - 1 u = 81 - 37
4 u = 44
1 u = 44 ÷ 4 = 11
Number of dragonfruits at first
= 6 u
= 6 x 11
= 66
Number of peaches at first
= 118 - 66
= 52
Fraction of the fruits that were peaches at first
=
52118 =
2659 Answer(s):
2659 
