There were 130 guavas and peaches altogether. After
34 of the guavas and half of the peaches were sold, there were a total of 40 guavas and peaches left. What fraction of the fruits were guavas at first? Give your answer in its simplest form.
| |
Guavas |
Peaches |
Total |
| Before |
4 u |
2 p |
130 |
| Change |
- 3 u |
- 1 p |
- 90 |
| After |
1 u |
1 p |
40 |
Number of guavas and peaches sold
= 130 - 40
= 90
3 u + 1 p = 90
1 p = 90 - 3 u --- (1)
1 u + 1 p = 40
1 p = 40 - 1 u --- (2)
(2) = (1)
40 - 1 u = 90 - 3 u
3 u - 1 u = 90 - 40
2 u = 50
1 u = 50 ÷ 2 = 25
Number of guavas at first
= 4 u
= 4 x 25
= 100
Fraction of the fruits that were guavas at first
=
100130 =
1013 Answer(s):
1013 
