There were 128 mangosteens and peaches altogether. After
34 of the mangosteens and half of the peaches were given away, there were a total of 36 mangosteens and peaches left. What fraction of the fruits were peaches at first? Give your answer in its simplest form.
| |
Mangosteens |
Peaches |
Total |
| Before |
4 u |
2 p |
128 |
| Change |
- 3 u |
- 1 p |
- 92 |
| After |
1 u |
1 p |
36 |
Number of mangosteens and peaches given away
= 128 - 36
= 92
3 u + 1 p = 92
1 p = 92 - 3 u --- (1)
1 u + 1 p = 36
1 p = 36 - 1 u --- (2)
(2) = (1)
36 - 1 u = 92 - 3 u
3 u - 1 u = 92 - 36
2 u = 56
1 u = 56 ÷ 2 = 28
Number of mangosteens at first
= 4 u
= 4 x 28
= 112
Number of peaches at first
= 128 - 112
= 16
Fraction of the fruits that were peaches at first
=
16128 =
18 Answer(s):
18 
