There were 102 peaches and pears altogether. After
34 of the peaches and half of the pears were given away, there were a total of 36 peaches and pears left. What fraction of the fruits were pears at first? Give your answer in its simplest form.
| |
Peaches |
Pears |
Total |
| Before |
4 u |
2 p |
102 |
| Change |
- 3 u |
- 1 p |
- 66 |
| After |
1 u |
1 p |
36 |
Number of peaches and pears given away
= 102 - 36
= 66
3 u + 1 p = 66
1 p = 66 - 3 u --- (1)
1 u + 1 p = 36
1 p = 36 - 1 u --- (2)
(2) = (1)
36 - 1 u = 66 - 3 u
3 u - 1 u = 66 - 36
2 u = 30
1 u = 30 ÷ 2 = 15
Number of peaches at first
= 4 u
= 4 x 15
= 60
Number of pears at first
= 102 - 60
= 42
Fraction of the fruits that were pears at first
=
42102 =
717 Answer(s):
717 
