There were 130 peaches and pears altogether. After
34 of the peaches and half of the pears were given away, there were a total of 39 peaches and pears left. What fraction of the fruits were peaches at first? Give your answer in its simplest form.
|
Peaches |
Pears |
Total |
Before |
4 u |
2 p |
130 |
Change |
- 3 u |
- 1 p |
- 91 |
After |
1 u |
1 p |
39 |
Number of peaches and pears given away
= 130 - 39
= 91
3 u + 1 p = 91
1 p = 91 - 3 u --- (1)
1 u + 1 p = 39
1 p = 39 - 1 u --- (2)
(2) = (1)
39 - 1 u = 91 - 3 u
3 u - 1 u = 91 - 39
2 u = 52
1 u = 52 ÷ 2 = 26
Number of peaches at first
= 4 u
= 4 x 26
= 104
Fraction of the fruits that were peaches at first
=
104130 =
45 Answer(s):
45