There were 124 starfruits and peaches altogether. After
34 of the starfruits and half of the peaches were sold, there were a total of 46 starfruits and peaches left. What fraction of the fruits were peaches at first? Give your answer in its simplest form.
| |
Starfruits |
Peaches |
Total |
| Before |
4 u |
2 p |
124 |
| Change |
- 3 u |
- 1 p |
- 78 |
| After |
1 u |
1 p |
46 |
Number of starfruits and peaches sold
= 124 - 46
= 78
3 u + 1 p = 78
1 p = 78 - 3 u --- (1)
1 u + 1 p = 46
1 p = 46 - 1 u --- (2)
(2) = (1)
46 - 1 u = 78 - 3 u
3 u - 1 u = 78 - 46
2 u = 32
1 u = 32 ÷ 2 = 16
Number of starfruits at first
= 4 u
= 4 x 16
= 64
Number of peaches at first
= 124 - 64
= 60
Fraction of the fruits that were peaches at first
=
60124 =
1531 Answer(s):
1531 
